2. Make a generalization about the exponents of imaginary numbers, regarding whether or not all even or all odd exponents result in real or imaginary numbers. Explain and prove your statement with actual examples and at least one complete sentence that supports your generalization.

Q: Compute the folling problem using scientific notation using your calculator   (2.561E-8)^-3   note:…

A: The given expression is (2.561E-8)-3.

Q: How might you tell if a number is even or odd in bases two, three, four, five, six, seven, eight,…

A: Given data:- The given numbers are 2, 3, 4, 5, 6, 7, 8, 9, 10 Explain the generalize to bases of n.

Q: Euclid of Alexandria is credited with writing a series of 13 mathematics books called The Elements…

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Q: 3. Suppose MLABC = 90°, write an expression that can be used to solve for me1.

A: We have to find angle

Q: What is an integer

A:

Q: Every natural number can be written as the products of prime numbers

A: Prime numbers are the numbers which have only two factors, 1 and the number itself.

Q: 13 our answer, including any radicals. Use integers or fractions for any numbers in the expression.)

A:

Q: How did early mathematicians discover that irrational numbers exist?

A:

Q: The symbol √ is used to denote the nonnegative, or_______ , square root of a number.

A:

Q: 4) show thud the numben of roots of 225-62²++1=0 in

A: The given equation is 2z5-6z2+z+1=0  and we have to find the root in the interval  1≤z<2.

Q: Give an example of an irrational number that greater than 10:

A:

Q: Which of two properties of exponents require that the base of the exponent be the same in order to…

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.…

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Q: What is the ones digit in the number 24? Hint: Start with smaller exponents to find a pattern.

A:

Q: What exactly does rationalizing a denominator do to an irrational number in the denominator?

A:

Q: Precisely discuss why the Number ‘2’ is a prime number

A: Here we have to discuss why the Number ‘2’ is a prime number.

Q: I'm kind of confused on exponents because you have a negative and a positive then you put the…

A:

Q: 6. Write a paragraph that explains the difference between a conjecture and a theorem in mathematics.

A: Here are the difference between conjectures and theorems in mathematics.

Q: 9. Use fix) = 3-4 and gix)-5-2' to evaluate the expressions in simplitied form: * (g )

A: We have the given functions as f(x)=3x-4g(x)=5-2x3   We have to find (a) f∘g(x) (b) g∘f(x)

Q: True or False Any nonzero integer divided by 0 equals 0.

A: False

Q: 7. Explain why we really are using base 1000 notation when we break large decimal integers into…

A:

Q: Give three examples of a number greater than 1 raised to a negative exponent and three numbers…

A:

Q: Determine whether the statement Every decimal with a repeating pattern of digits is a rational…

A: Consider the given statement, Every decimal with a repeating pattern of digits is a rational number…

Q: со conjugates. CS.

A:

Q: If x and y are floating-point numbers, then the evaluation of f(x, y) : = -x – Vr2 - Y in a floating…

A: Given:-              If x and y are floating point number then the evaluation is:…

Q: (c) Show that 3/2+ 2/3 is an algebraic number?

A:

Q: what are ALL the six-digit numbers of the form 47_8_6 that are divisible by 24?

A: The six-digit number has form 47__8__6

Q: What does it mean to say that algebra is a written language? How would I express an algebraic…

A: To explain the connection (in algebra) between the written and symbolic language

Q: Why do these rational numbers have terminating decimal? 1/30, 1/32, 1/40, and 3/60.

A: The number is said to be terminating if its denominator is in form of 2x5y. Simplify each number and…

Q: 0alaEN,a is an even number and ac i4}

A: The set just contains those even natural numbers that are less than 14.

Q: Integers with different values in each digit can be expanded in a similar way. For these integers,…

A: Let we have a number 5267843 This number can be expanded as…

Q: 2. A number is shown in expanded form. 7x1+9x A+8 x 1,000, What is the number in decimal form?

A: Answer is 7.908

Q: Suppose that a superball dropped from a height of 36 ft always rebounds of the distance fallen.…

A: Given that  Super ball dropped from height h = 36 ft Rebound height = 1/4 of fallen To find total…

Q: perform the indicated operations involving rational numbers. Express final answers in reduced form.…

A: Given: 47÷16-21

Q: 9) What are the three rules for putting radicals in simplest form?

A: The rules for putting radicals in the simplest form,

Q: The ISBN-10 of the sixth edition of Elementary Number Theory and Its Applications is 0-321-500Q1-8,…

A: Here, x1=0, x2=3, x3=2, x4=1, x5=5, x6=0, x7=0, x8=Q, x9=1, x10=8

Q: 13. Find the real numbers missing from the following equation (that is, rewrite the equation with…

A:

Q: Determine the possibilities for the final digit of a sixth power of an integer.

A: The last digits of a number are 0,1,2,3,4,5,6,7,8 and 9. The number 0 raised to any number will be 0…

Q: how do I put in exponents on the computer so I can put the math problem in that I am in need of help…

A: ANSWER:An exponent in word documents can be put using the superscript option avaialble in the…

Q: Consider the set of rational numbers under the operation of addition. What is the inverse of 9?

A:

Q: What is the square root of a number Y in symbolic notation

A: Given,  A number  Y  We have to write the square root of number Y in symbolic notation.

Q: Provide proof of why is it that a positive real number multiplied by a negative real number yiclds a…

A: Let's find.

Q: Compute 81^-3/4 without a calculator, writing your answer as a fraction

A: given that, 81-34

Q: What does the Fundamental Theorem of Arithmetic tell us about natural numbers?

A: THIS question related to number theory.

Q: Make a generalization about the exponents of imaginary numbers, regarding whether or not all even or…

A:

Q: In the following, it is possible that one of the properties of the real numbers has been applied…

A: The given equation is,

Q: - To divide powers with the same base, of the denominator from the exponent of the numerator.…

A: To simplify.

Q: Answer the following question. Each positive integer can be written as a sum or difference of…

A: