Using the Quotient of Powers Property

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Presentation transcript:

Using the Quotient of Powers Property EXAMPLE 3 Using the Quotient of Powers Property Simplify the expression. Write your answer as a power. x12 x7 a. = x12 – 7 Quotient of powers property = x5 Subtract exponents. b. 97 93 = 97 – 3 Quotient of powers property = 94 Subtract exponents.

Simplifying Fractions with Powers EXAMPLE 4 Simplifying Fractions with Powers Simplify the expression. a. y4 y y3 = y5 y3 Simplify numerator using product of powers property. = y5 – 3 Quotient of powers property. = y2 Subtract exponents. b. xy4 y3 = xy4 – 3 Quotient of powers property. = xy Subtract exponents.

GUIDED PRACTICE for Examples 3 and 4 Simplify the expression. Write your answer as a power. 9. a6 a4 = a2 10. 109 106 = 103

GUIDED PRACTICE for Examples 3 and 4 Simplify the expression. Write your answer as a power. 11. q3 q5 q4 = q4

GUIDED PRACTICE for Examples 3 and 4 Simplify the expression. Write your answer as a power. 12. a2b8 b2 = a2b6