Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Use the power of a quotient rule for exponents to simplify each expression.$$\left(\frac{8 a^{2}}{11 b^{5}}\right)^{2}$$

$$\frac{64 a^{4}}{121 b^{10}}$$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:18

Use the power of a product…

00:47

Use the quotient rule for …

00:45

Use the power rule and the…

00:42

Use the power of a quotien…

01:12

Use the product and quotie…

00:43

00:34

Explain the quotient rule …

00:38

Simplify each expression u…

01:22

02:04

Use rules for exponents to…

01:02

00:44

Use the Product of Power a…

00:55

00:57

Use the rules of exponents…

00:50

00:35

We need to simplify the given expression using power of quotient rule for exponents. The given expression is 8, a square divided by 11 b power 5, the whole square. So we know that the power of quotient rule for exponents states that if the expression x by y is raised to power, then it can be written as x, power n divided by y power. So let us raise the numerator and the denominator to power 2. We get 8 a square raised to power 2, divided by 11 b power 5 raised to power 2. We know that the power of product rule for exponents states that if the product x by y is raised to power, then it can be written as x, power n into y power n. So let us raise each factor of the product in the numerator, as well as the denominator to power 2. We get a square and this will be a square. The whole square, the whole thing divided by 11 square, and this will be b power. 5. The whole square so on simplifying a square we get 64 and we know that the power rule for exponents states that if x power is raised to power, then it can be written as x power into m. So here we shall write this as a power to into 2 divided by lemon square is 121, and this can itemise p power 5 into 2 point. So on simplifying this we get 64, a power 4 divided by 121 d power 10 point. Hence the solution.

View More Answers From This Book

Find Another Textbook

Numerade Educator

Factor by grouping.$$y^{3}-12+3 y-4 y^{2}$$

01:42

Factor. See Example 3 or Example $10 .$$$u^{2}+u-42$$

Factor. If an expression is prime, so indicate.$$20 y^{2}-93 y-35

00:33

Find each product. See Example 2.$$(5 a+4)(5 a-4)$$

01:07

Multiply using vertical form. See Example 7.$$\begin{array}{r}{x…

01:19

Expand each binomial. See Example 3.$$(2 g-3)^{3}$$

03:39

Perform the operations.$$\left(-3 z^{2}-4 z+7\right)+\left(2 z^{2}+2…

01:36

Simplify each expression, if possible.$$\left(\frac{y^{3} y^{5}}{y y…

03:27

Pythagorean Theorem ProblemsBoating. The inclined ramp of the boat launc…

01:37

Divide the monomials. See Example 1.$$\frac{-3 d^{4}}{15 d^{8}}$…