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Which expression is equivalent to (x^6 y^8) ^3 over x^2 y^2 ?

options:
A. x^7 y^9
B. x^9 y^12
C. x^12 y^18
D. x^16 y^22

User Kemzie
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2 Answers

6 votes
The answer is D. x^16 y^22. Hope this helped!
User Fiz
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The answer would be D. because when the power of 3 is distributed to the x^6 and y^8, the simplified version would be x^18 y^24 because exponents are multiplied when outside of the parentheses. When that is put over x^2 y^2, you have to subtract the exponents to their matching variables. x^18 - x^2 = x^16 and y^24 - y^2 = y^22. So the final answer would be x^16 y^22.
User Scott Quinlan
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