Math 110 Algebra - Fall 2018 - Linda Green

Math 110 Algebra - Fall 2018

EXPONENTS

Exponents

After completing this section, students should be able to:

? Explain the product rule, quotient rule, and power rule for exponentiation by

writing out powers of a variable as repeated multiplication.

? Rewrite expressions with negative exponents so that all exponents are positive.

? Use the product rule, quotient rule, and power rule to simplify exponential expressions.

? Decide whether equations involving exponents are always true or not by testing

examples.

? Rewrite fractional exponents in terms of radicals.

? Calcuate numbers raised to fractional exponents without a calculator.

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EXPONENTS

Here are the exponent rules:

1. The Product Rule

2. The Quotient Rule

3. The Power Rule

4. Power of Zero

5. Negative Exponents

6. Fractional Exponents

7. Distribute an Exponent over a Product

8. Distribute an Exponent over a Quotient

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EXPONENTS

Example. Simplify the following expressions and write your answers without negative

exponents:

4y3

(b) ?5

y

3x?2

(a) 4

x

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EXPONENTS

Example. Simplify the expression and write your answer without negative exponents:

y3z5

7z?2 y7

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