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 Dependent Variable

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# Properties of Exponents

## Examples

Example 1

Simplify

 Solution Here is another way to simplify Use the Division Property of Exponents of Exponents. = (32-5 Â· y8)2 Simplify. = (3-3 Â· y8)2 Use the Power of a Power Property of Exponents. = 3-3Â·2 y8Â·2 Simplify. = 3-6 y16 Use the definitiion of a negative exponent. Multiply. Simplify 36. Thus, the result is

Example 2

Simplify:

 Solution Use the Power of a Power Property of Exponents. Simplify. Use the Multiplication Property of Exponents. Use the Division Property of Exponents. = x6-14 y8-8 Simplify. = x-8 y0 Use the definition of a zero exponent. = x-8 Â· 1 Use the definition of a negative exponent. Thus, the result is .