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Use rules for exponents to simplify each expression.$$\frac{\left(r^{4} s^{3}\right)^{4}}{r^{3} s^{9}}$$

$$r^{13} s^{3}$$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

Campbell University

Baylor University

Idaho State University

Lectures

00:36

Use the rules of exponents…

00:49

Simplify each expression. …

01:34

01:10

00:58

00:56

00:46

Use the power rule for exp…

00:31

01:02

01:16

Use the product and power …

00:52

00:13

01:01

00:39

00:55

00:30

we need to simplify the given expression using the rule for exponents. The given Expressionists are poor fool is Q raise to two powerful different by our poetry and ESP overnight. We know that the power off product for explained states that if a product ex boy this raised to publicly in the camp bitterness Experian into way for a year. So using the robot off protecting for the numerator Michelle, raise each factor off though numerator to cover for that This are powerful maze to part for you two sq based to our four The whole thing did it by U S bullet night. We know that the barber before explain states that if explore iam this latest to Obadiah then it can make it a nice expo p m you do here So applying the power room to the numerator we get are full of food and do four. It's for three into four holding goodbye Argue Yes, poet nine one simplifying this wicket Polar 16 Yes. Born Well Bye. Are you? Yes. Pull it tonight. Now Brok terms with nine basis together that just our father 16 by. Are you? No, I do. Yes. Phone Well by Yes, Bar nine. We know that the potion brewed What exponents states that Exploratorium, by exploitation and bitterness, exposed him minus you. So using though Washington, let us keep the basis on DSA brand The experience that this are over 16 minus three. Going to Yes, probably 12 minus night. So we get our cover 13? Yes, for three months. The solution is our over being. Yes, you.

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00:37

Multiply. See Examples 4 and 5.$$(2 x-3)(6 x-5)$$

03:46

Pythagorean Theorem ProblemsWind Damage. A tree was blown over in a wind…

00:41

Find each product. See Example 2.$$(5-6 g)(5+6 g)$$

01:12

Simplify each expression. Do not use negative exponents in the answer.$$…

00:27

Find each product. See Example 2.$$(x+3)(x-3)$$

01:21

Complete each solution to solve the equation.$$\begin{aligned}&a…

00:10

Factor out $-1$ from each polynomial.$$7-8 b$$

00:35

Multiply. See Examples 4 and 5.$$(a+4)(a+5)$$

01:41

Factor. See Example 5$$-t^{2}-15 t+34$$

01:37

Factor each trinomial. See Example 2 or Example $10 .$$$c^{2}-9 c+8$$