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Use the power of a product rule for exponents to simplify each expression.$$\left(-\frac{1}{3} y^{2} z^{4}\right)^{5}$$

$$-\frac{1}{243} y^{10} z^{20}$$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

Campbell University

Oregon State University

McMaster University

Lectures

01:32

In mathematics, the absolu…

01:11

00:50

Use the power of a product…

00:41

Use the product rule for e…

00:37

01:31

01:04

00:44

01:15

Use the product and power …

00:48

Use the power rule for exp…

00:22

01:22

00:45

Use the product rule to si…

01:18

01:08

00:58

01:16

00:28

we need to simplify the given expression Using the power off product to the given Expressionist minus one by three y squared is in power for raised to cover. Right? We know that the power off product through for exponents states that if a product x y this raised to pavilion it can't indigenous explorer yen to wipe oven Yeah, So let us use the bottle product room to simplify the given expression race Eat tractor off the product to our fight So we get minus one by dream raise two Took our fried on y square raised two bullet fry And is that power for They used to power free So on simplifying minus one by three the will cover fight we get minus one way 43 We know that the power for exponents states that if emporium the world opinion then you can build a nest cape over young into him. So we let s keep the same base y and multiply. That explained so doing to find And then he said our old into five And so I'm simplifying this. Begin minus one by 4 83 Wipe over them is it for what? Wendy Hence the solution is minus one by 2 43 Why port in on his court

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