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Use the power of a product rule for exponents to simplify each expression.$$\left(-2 x^{2} y^{4}\right)^{5}$$

$-32 x^{10} y^{20}$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

Campbell University

Oregon State University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

00:50

Use the power of a product…

00:49

Use the product rule for e…

01:18

01:22

Use the product and power …

01:37

00:37

00:24

00:48

Simplify each expression u…

01:04

01:15

00:41

01:16

01:10

00:47

00:40

00:44

Use the Product of Power a…

00:34

Use the rules of exponents…

00:28

We need to simplify the given expression using the power off product too. The human Expressionist minus two X squared y covered for the whole hour. Frank, We know that the power off product rule states that if a product ex wife is raised to barbarian, then it can be bitterness. Explanation multiplied by white over here. So let us use the power off Producto to simplify the given expression. Race each tractor off the product to our friends. So we get minus to the world over fried excess. Claire, the whole frame and wife over. Fool. Over, Frank on simplifying minus to avoid. For Friday, we get minus that you Do we know that the power room for exponents states that expose Liam raised to power here can religionists Expo p m in new Year. So using the power rule to simplify Father, we shall write a desk exploded So you do fight and here wife of our food into a fight and so on Simplifying this we get minus 32 Explore thin. Why over 20 hence the solution is minus 30. Tow X rays to power then and why they use to power 20

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Use the product and power rules for exponents to simplify each expression.

Simplify each expression using the products-to-powers rule.$$\left(-2 y^…

Use the Product of Power and Quotient of Power rules to simplify each expres…

Use the rules of exponents to simplify each expression.$$2 x^{2} \cdot 5…

Use the power of a product property to simplify the expression.$$\le…

Perform the operations.$$\left(9 d^{2}+6 d\right)+\left(8 d-4 d^{2}\…

00:36

Multiply. See Examples 4 and 5.$$(4 y-5)(y+7)$$

00:55

Factor.$$d^{2}-10 d+25$$

01:31

Perform the operations.$$\left(5.7 n^{3}-2.1 n\right)+\left(-6.2 n^{…

01:17

Factor.$$25 a^{2}+30 a b+9 b^{2}$$

02:19

Factor. If an expression is prime, so indicate.$$18 x^{2}+31 x-10

01:42

Factor. If an expression is prime, so indicate.$$170 h^{2}-210 h-260…

Factor. If an expression is prime, so indicate.$$130 r^{2}+20 r-110<…

00:17

Complete each solution to find the product.$$\begin{aligned}(s+5…

01:56

Factor. See Example 5 or Example 7.$$-28+6 a^{2}-2 a$$