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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 5.CR, Problem 68CR
Textbook Problem
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For Problems 63-70, simplify.

32 - 2 5

To determine

To simplify:

The numerical expression 32-25.

Explanation of Solution

If mn is a rational number, where n is a negative integer greater than 1, and b is a real number such that bn exists, then

b-mn = 1bmn=1bnm

Product Rule for Radicals:

If a and b are real numbers, then

a·b = a·b

from the given numerical expression,

m=2

n=-5

b=32

Hence

32-25 = 13225=13252

To simplify the denominator, express 32 into the product of five same integers. i.e.,

Then,

325=····25

So,

1325=1····25

Using the product rule,

····25=5· 5· 

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Chapter 5 Solutions

Intermediate Algebra
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Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - For Problems 1 42, simplify each numerical...Ch. 5.1 - 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Defend your answer?Ch. 5.3 - Use your calculator and evaluate each expression...Ch. 5.3 - Do the following problems, in which the variable...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. To...Ch. 5.4 - For Problems 1-10, answer true or false. To...Ch. 5.4 - For Problems 1-10, answer true or false. 8+122=2+6Ch. 5.4 - For Problems 1-10, answer true or false....Ch. 5.4 - For Problems 1-10, answer true or false. The...Ch. 5.4 - For Problems 1-10, answer true or false. 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Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For problem 1-56, solve each equation. Dont forget...Ch. 5.5 - For Problems 57-59, use the appropriate formula to...Ch. 5.5 - For Problems 57-59, use the appropriate formula to...Ch. 5.5 - For Problems 57-59, use the appropriate formula to...Ch. 5.5 - Thoughts Into Words Your friend makes an effort to...Ch. 5.5 - Thoughts Into Words Explain why possible solutions...Ch. 5.5 - Thoughts Into Words Explain the concept of...Ch. 5.6 - For Problems 1-10, answer true or false. Assuming...Ch. 5.6 - For Problems 1-10, answer true or false. An...Ch. 5.6 - For Problems 1-10, answer true or false. To...Ch. 5.6 - For Problems 1-10, answer true or false. When an...Ch. 5.6 - For Problems 1-10, answer true or false. The...Ch. 5.6 - For Problems 1-10, answer true or false. -16-3=164Ch. 5.6 - For Problems 1-10, answer true or false. 773=76Ch. 5.6 - For Problems 1-10, answer true or false. 16-34=18Ch. 5.6 - For Problems 1-10, answer true or false. 1632=22Ch. 5.6 - For Problems 1-10, answer true or false. 6423=16Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - For problems 1-30, evaluate each numerical...Ch. 5.6 - 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For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 31-44, write each of the following in...Ch. 5.6 - For problems 45-58, write each of the following...Ch. 5.6 - For problems 45-58, write each of the following...Ch. 5.6 - For problems 45-58, write each of the following...Ch. 5.6 - For problems 45-58, write each of the following...Ch. 5.6 - For problems 45-58, write each of the following...Ch. 5.6 - 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For problems 81-90, perform the indicated...Ch. 5.6 - For problems 81-90, perform the indicated...Ch. 5.6 - For problems 81-90, perform the indicated...Ch. 5.6 - For problems 81-90, perform the indicated...Ch. 5.6 - Thoughts Into Words Your friend keeps getting an...Ch. 5.6 - Thoughts Into Words Explain how you would evaluate...Ch. 5.6 - Further Investigations Use your calculator to...Ch. 5.6 - Definition 5.7 states that bmn=bmn=bnm Use your...Ch. 5.6 - Use your calculator to evaluate each of the...Ch. 5.6 - Use your calculator to estimate each of the...Ch. 5.6 - a Because 45=0.8, we can evaluate 1045 by...Ch. 5.7 - For Problems 1-10, answer true or false. A...Ch. 5.7 - For Problems 1-10, answer true or false. A number...Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false....Ch. 5.7 - For Problems 1-10, answer true or false. 6, 200,...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - For Problems 1-18, write each of the following in...Ch. 5.7 - 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For Problems 19-32, write each of the following in...Ch. 5.7 - For Problems 19-32, write each of the following in...Ch. 5.7 - For Problems 19-32, write each of the following in...Ch. 5.7 - For Problems 19-32, write each of the following in...Ch. 5.7 - For Problems 19-32, write each of the following in...Ch. 5.7 - For Problems 19-32, write each of the following in...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - For Problems 33-50, convert each number to...Ch. 5.7 - Avogadros number, 602, 000, 000, 000, 000, 000,...Ch. 5.7 - The Social Security program paid out approximately...Ch. 5.7 - Carlos first computer had a processing speed of...Ch. 5.7 - Alaska has an area of approximately 6.15105 square...Ch. 5.7 - In the year 2013 the public debt of the United...Ch. 5.7 - The space shuttle can travel at approximately 410,...Ch. 5.7 - A square pixel on a computer screen has a side of...Ch. 5.7 - The field of view of a microscope is 410-4 meter....Ch. 5.7 - The mass of an electron is 9.1110-31 kilogram, and...Ch. 5.7 - Atomic masses are measured in atomic mass unit...Ch. 5.7 - Explain the importance of scientific notation.Ch. 5.7 - Why do we need scientific notation even when using...Ch. 5.7 - Sometimes it is more convenient to express a...Ch. 5.7 - Use your calculator to estimate each of the...Ch. 5.7 - Use your calculator to estimate each of the...Ch. 5.7 - Use your calculator to estimate each of the...Ch. 5.S - Simplify 13-3Ch. 5.S - Simplify 4xy-1-2 and express the final result...Ch. 5.S - Simplify 2x3y-1-3x-2y-1 and express the final...Ch. 5.S - Simplify 3x-1-4y-2 and express the result as a...Ch. 5.S - Simplify 20x8y5.Ch. 5.S - Simplify 3127.Ch. 5.S - Simplify 418+50-8.Ch. 5.S - Multiply 2xy234x4y3.Ch. 5.S - Multiply 3x12x-6xy and simplify where possible.Ch. 5.S - Simplify 56-3 by rationalizing the denominator.Ch. 5.S - Solve 2x-1=x-2.Ch. 5.S - Use the formula 30Df=S to determine the...Ch. 5.S - Simplify 853.Ch. 5.S - Write y23 in radical form.Ch. 5.S - Write xy35 using positive rational exponents.Ch. 5.S - Simplify 2x12-5x-14 and express the result with...Ch. 5.S - Multiply x3x3 and express in simplest radical...Ch. 5.S - Write each of the following in scientific...Ch. 5.S - Write each of the following in ordinary decimal...Ch. 5.S - Use scientific notation and the properties of...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 1-6, evaluate the numerical...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - For Problems 7-18, simplify and express the final...Ch. 5.CR - 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For Problems 23-34, express the radical in...Ch. 5.CR - For Problems 23-34, express the radical in...Ch. 5.CR - For Problems 23-34, express the radical in...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 35-38, use the distributive property...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 39-48, multiply and simplify. Assume...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 49-52, rationalize the denominator...Ch. 5.CR - For Problems 53-60, solve the equation 7x-3=4.Ch. 5.CR - For Problems 53-60, solve the equation 2y+1=5y-11.Ch. 5.CR - For Problems 53-60, solve the equation 2x=x-4.Ch. 5.CR - For Problems 53-60, solve the equation n2-4n-4=n.Ch. 5.CR - For Problems 53-60, solve the equation 2x-13=3.Ch. 5.CR - For Problems 53-60, solve the equation t2+9t-1=3.Ch. 5.CR - For Problems 53-60, solve the equation x2+3x-6=x.Ch. 5.CR - For Problems 53-60, solve the equation x+1-2x=-1.Ch. 5.CR - The formula S=30Df is used to approximate the...Ch. 5.CR - The formula T=2L32 is used for pendulum motion,...Ch. 5.CR - For Problems 63-70, simplify. 452Ch. 5.CR - For Problems 63-70, simplify. -123Ch. 5.CR - For Problems 63-70, simplify. 82723Ch. 5.CR - For Problems 63-70, simplify. -1632Ch. 5.CR - For Problems 63-70, simplify. 27-23Ch. 5.CR - For Problems 63-70, simplify. 32-25Ch. 5.CR - For Problems 63-70, simplify. 932Ch. 5.CR - For Problems 63-70, simplify. 1634Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 71-74, write the expression in...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 75-78, write the expression using...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 79-84, simplify and express the final...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 85-88, perform the indicated...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 89-92, write the number in scientific...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 93-96, write the number in ordinary...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problem 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CR - For Problems 97-104, use scientific notation and...Ch. 5.CT - For problems 1-4, simplify each of the numerical...Ch. 5.CT - For problems 1-4, simplify each of the numerical...Ch. 5.CT - For Problems 1 4, simplify each of the numerical...Ch. 5.CT - For Problems 1 4, simplify each of the numerical...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - For Problems 5-9, express each radical expression...Ch. 5.CT - Multiply and simplify: 46312Ch. 5.CT - Multiply and simplify: 32+32-23Ch. 5.CT - Simplify by combining similar radicals:...Ch. 5.CT - Rationalize the denominator and simplify: 3243-8Ch. 5.CT - Simplify and express the answer using positive...Ch. 5.CT - Simplify and express the answer using positive...Ch. 5.CT - Express x-1+y-3 as a single fraction involving...Ch. 5.CT - Multiply and express the answer using positive...Ch. 5.CT - Multiply and simplify: 35-2335+23Ch. 5.CT - For Problems 19 and 20, use scientific notation...Ch. 5.CT - For Problems 19 and 20, use scientific notation...Ch. 5.CT - For Problems 21-25, solve each equation. 3x+1=3.Ch. 5.CT - For Problems 21-25, solve each equation. 3x+23=2.Ch. 5.CT - For Problems 21-25, solve each equation. x=x-2.Ch. 5.CT - For Problems 21-25, solve each equation....Ch. 5.CT - For Problems 21-25, solve each equation....

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