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Use the power of a quotient rule for exponents to simplify each expression.$$\left(\frac{r}{s}\right)^{4}$$

$\frac{r^{4}}{s^{4}}$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

Campbell University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

00:55

Use the quotient rule for …

01:16

Use the product and power …

00:17

Use the Product of Power a…

00:47

Use the power of a product…

00:52

Use the power rule for exp…

01:12

Use the product and quotie…

00:44

00:42

Use the power of a quotien…

02:10

Use rules for exponents to…

00:43

01:25

00:24

Use the product rule for e…

00:50

00:41

01:31

00:18

Use the power rule and the…

00:34

Simplify each expression. …

We need to simplify the given expression using the power of quotient rule for exponents. The given expression is r by is raised to cover 4. We know that the power of potient rule for exponents states that, if an expression x by y is raised to power, then it can be written as x, power n divided by y power. Hence, let us use the power of quotient rule in the given expression, so we shall rise the numerator as well as the denominator: 2 power. 4. So we get our power 4 divided by s power 4. Hence the solution is r power divided by s power, 4.

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