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Review of Integer Components
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Laws of Exponents

Example

Simplify each expression

1. ( 2 3 ) 3

2. ( 4 p ) 2 , where p0

3. ( 2 t ) 6 , where t0

4. ( q r ) 7 , where r0


Solutions
Use the Rule for a Quotient Raised to a Power.

1. ( 2 3 ) 3 = 2 3 3 3 = 8 27

2. ( 4 p ) 2 = 4 2 p 2 = 16 p 2

3. ( 2 t ) 6 = ( 2 ) 6 t 6 = 64 t 6

4. ( q r ) 7 = q 7 ( r ) 7 = q 7 r 7 = q 7 r 7