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EXAMPLE 3

x 12. a. x 12 – 7. =. x 7. 9 7. 9 3. b. 9 7 – 3. =. EXAMPLE 3. Using the Quotient of Powers Property. Simplify the expression. Write your answer as a power. Quotient of powers property. = x 5. Subtract exponents. Quotient of powers property. = 9 4. Subtract exponents. y 4 y.

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EXAMPLE 3

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

  2. y4y a. = y3 b. xy4 – 3 = xy4 y5 y3 y3 EXAMPLE 4 Simplifying Fractions with Powers Simplify the expression. Simplify numerator using product of powers property. = y5 – 3 Quotient of powers property. = y2 Subtract exponents. Quotient of powers property. = xy Subtract exponents.

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

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

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

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