express each of the following as a single fraction involving positive exponents only. a-1 + a-1b-3

Q: Simplify by reducing the index of the radical ^6sqrty^3

A:

Q: simplify each expression. Express final results without using zero or negative integers as…

A: Consider the expression, 2xy25a-1b-2-1 use the exponent rules m-n=1mn  or  1m-n=mn and  xy-n=yxn

Q: Express the following fraction in simplest form, only using positive exponents. 56-10v-10 (3bv-1)-4

A:

Q: express each of the following as a single fraction involving positive exponents only. 3a-2 + 4b-1

A: The negative exponents can be converted to positive exponents by taking the reciprocal of the…

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: The given expression is x-y2-5. Simplify as follows.

Q: find the indicated products and quotients, and express the final answers with positive integral…

A: Simplification of the given expression helps to find the final answer in the positive integral…

Q: write each of the following in radical form. For example, 3x2/3 = 3 ∛x2 . (5a + 7b)3/5

A:

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: 4√ a2b3

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: The given expression is  2x-y35.

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: we have to write each of the following using positive rational exponents. A=4yx3

Q: If 5^14 / (5^3 x 5^8) = 5^a , then by simplifying the equation's left side, using the exponent laws,…

A:

Q: Simplify the following and express with positive exponents: 10(8x3)-2/3(4x2)1/2

A: Topic:- simplification

Q: express each of the following in simplest radical form. All variables represent positive real…

A: The given expression is, 64x3y7 64 can be written as, 82 After eliminating the radical sign, we get…

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: Given,           5y

Q: express each of the following as a single fraction involving positive exponents only. 5x-2y +…

A: Given: Let p=5x-2y+6x-1y-2 To Find: To simplify the given expression

Q: 3 16 4 27

A:

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: 2xy=2xy1/2=21/2x1/2y1/2

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: Given: x2y45Formula: √ab = (ab)12= a12 b12 .

Q: 1. Express each of the following expressions in "expanded" form, i.e., do all of the multiplication…

A: Let us look at the rule of multiplication am×an=am+n Rule of Division aman=am-n

Q: simplify each complex fraction. (2/(x - 3) - 3/(x + 3) / (5/(x2 - 9) - 2/(x - 3))

A: Simplify each complex fraction.           2x-3-3x+35x2-9-2x-3

Q: express each of the following as a single fraction involving positive exponents only. x-2 + x-3

A: Given: y=x-2+x-3 We know that x-m=1xm…

Q: express each of the following as a single fraction involving positive exponents only. x-3 - y-1

A: we have to express x-3-y-1 as a single fraction involving positive exponents only

Q: express each of the following in simplest radical form. All variables represent positive real…

A: Given: 813x5y6

Q: Rewrite each of the following so that only positive exponents remain, and simplify. (a) (2-2 -…

A: To Rewrite each of the following so that only positive exponents remain, and simplify. First we…

Q: express each of the following as a single fraction involving positive exponents only. 2x-1 - 3y-2

A: Given: 2x-1-3y-2

Q: express each of the following as a single fraction involving positive exponents only. x2y-2 - x-1y-3

A: The given expression is, x2y-2-x-1y-3 Using the exponential rule,  a-b=1ab

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: We have to write the given expression by using positive rational exponents: xy23 We know the…

Q: simplify each of the following. Express final results using positive exponents only. For example,…

A: Known fact: aman=am-n

Q: express each of the following in simplest radical form. All variables represent positive real…

A: We have to express in simplest radical form: 512x4 We know the exponents rule, a=a12a×a=a

Q: Rewrite each of the following as an equivalent expression with rational exponents. 65. V 66, Vx5 68.…

A: Since you have asked multiple questions in single request. So we will answering only first question.

Q: Express each of these fractions as the sum of two or more fractions with simpler denominators.…

A: Given  Y = (2X³-X²+13X-5)/(X²+5)². We can apply simple arithematic operation to break above function

Q: express each of the following as a single fraction involving positive exponents only. x-1y-2 - xy-1

A: Consider the expression, x-1y-2-xy-1

Q: express each of the following in simplest radical form. All variables represent positive real…

A: To express in simplest radical form: 5y18x3

Q: express each of the following as a single fraction involving positive exponents only. x-1 + x-5

A: To simplify: x-1+x-5. Solution: x-1+x-5 On simplifying further we get: x-1+x-5=1x+1x5…

Q: Write each radical in exponential form. 1. V4ab 2. (2x)3 3. V4m 4. 5xy3 5. V(3a)?

A: Radical form in exponential form

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: To write in rational exponent  5ab

Q: simplify each complex fraction. (3/(x - 2) - 4/(x2 - 4)) / (2/(x + 2) + 1/(x - 2))

A: We have to simplify the complex fraction: 3x-2-4x2-42x+2+1x-2 Rewriting the expression,…

Q: express each of the following in simplest radical form. All variables represent positive real…

A: Our Aim is to express the expression given below in simplest form:-79x23 -(i)

Q: express each of the following in simplest radical form. All variables represent positive real…

A: To express each of the following in simplest radical form. All variables represent positive real…

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: To write the given expression using positive rational exponents.(3x-y)47 Solution: (3x-y)47 On…

Q: simplify each of the numerical expressions. 21 - 4 x 3 + 2

A: Given numerical expression is 21-4×3+2.

Q: Express the following fraction in simplest form, only using positive exponents. 20y²h-1 (5y h2)2

A: We have to simplify the following expression into simplest form using only positive exponents.…

Q: _3. 4n _1. VD 2. V5a 5.(V9a) 4.

A:

Q: 7. Rewrite each of the following without the use of fractional or negative exponents by using…

A:

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: To write each of the following using positive rational exponents. ab56

Q: Express with positive exponents only. Then simplify, if possible. 1/3x-4

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.