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Use the power of a product rule for exponents to simplify each expression. See Example $9 .$$\left(-2 r^{2} s^{3}\right)^{3}$

$$-8 r^{6} s^{9}$$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

Lectures

00:44

Use the power of a product…

00:10

Use the product rule for e…

00:17

00:22

01:02

01:16

00:54

00:14

00:41

Use the product and power …

00:28

Use the product rule to si…

00:15

00:42

01:09

01:18

00:16

00:29

02:08

Use the product rule, if p…

simplify the given expression, using the power off product through the given expressionist minus to ask where sq raise to two Power three. We know that the power off product through states that if a product ex wife is raised to poverty and many Campbell Dennis explains it aboard and multiplied by. Why Phase two to cover here. So let us use the power of Producto to simplify given expression. Let this race each factor off the product to power three Readiness minus two. The whole number three on our square. The 143 Yes. Cue the hole for three on simplifying minus two. The whole court three, we get minus eight. We know that the power rule off experience states that experience the whole volume. Damn bird Ernest! Expert Ian into you. So using the power rule to simplify Father Michelle like this is our cover three on Yes, over three in 23 So on simplifying this we get minus eight are over six. Yes, Papa Nine. Hence the solution is minus eight up over six k s pervert Night

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00:50

Factor.$$n^{3}+512$$

00:34

Multiply. See Examples 4 and 5.$$(y+3)(y+5)$$

Factor.$$r(t+v)+3(t+v)$$

00:38

Find each product. See Example 1.$$(1-4 a)^{2}$$

00:52

Factor.$$8+t^{3}$$

01:37

Use the power of a product rule for exponents to simplify each expression.

01:47

Factor each trinomial. See Example 2 or Example $10 .$$$n^{2}-7 n+10$$

Multiply. See Example 6.$$\left(x^{2}+6 x+7\right)(2 x-5)$$

03:07

Simplify. Do not use negative exponents in the answer.$\begin{array}{lll…

01:22

Factor each trinomial. See Example 4 or Example $10 .$$$a^{2}-6 a-16$$