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Use the power of a product rule for exponents to simplify each expression.$$\left(-\frac{1}{4} t^{3} u^{8}\right)^{2}$$

$\frac{1}{16} t^{6} u^{16}$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

Campbell University

Oregon State University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

00:47

Use the power of a product…

01:18

Use the product and power …

01:13

00:41

00:44

01:16

01:09

01:12

Use the product and quotie…

Use the power rule for exp…

Use the product rule for e…

01:31

00:57

Simplify each expression u…

00:22

01:15

Use the Product of Power a…

01:22

00:24

01:37

we need to simplify the given expression using the power of protection for exponents. The human expression is minus one. Before I take you, you berate the whole square. We know that the power of product you for exponential states that if a product ex way his reins to Bolivia, it can be bitterness exploration into white. Over here, let us use the power of product to simply frame. Raise each factor off the product to power too. So we get minus one way. Fool. I used to do a follow up to take you placed to color too. You cooperate, raised to do on simply playing minus one. Before the one squared, we get one way 16. We know that the but little of what explains states that if experience is raised toe bullet here it generated a mess Exploratorium into him. So we shall want to play the experience that this tape over three into two and you probably ate into on simplifying this frigate won by 16 in ballistics. You both 16 Hence the solution ists. What base? 16 people Since you boys 16

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

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Use the power rule for exponents to simplify each expression. Write the resu…

Use the product rule for exponents to simplify each expression. Write the re…

Simplify each expression using the products-to-powers rule.$$\left(4 x^{…

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

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

01:42

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

00:08

Factor out $-1$ from each polynomial.$$-a-b$$

01:30

Perform the operations.$$\left(12.1 h^{3}+9.9 h^{2}\right)+\left(7.3…

00:53

Factor.$$1,000 a^{3}-w^{3}$$

Solve each equation.$$x^{2}-36=0$$

00:15

Factor.$$m(p-q)-5(p-q)$$

00:50

01:49

Simplify. Do not use negative exponents in the answer.$\frac{t\left(t^{-…

Factor. See Example 6 or Example 11.$$x^{2}+10 x y-11 y^{2}$$

00:30

Factor by grouping.$$2 x+2 y+a x+a y$$