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Choose the correct simplification of the expression (a^4/b^2)^3 A: a^7/b^5 B: a^12/b^6 C: ab^9 D: a^12b^6

Daniel King

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Nicholas Rivera on June 6, 2018

The answer is B: a^12/b^6Proof:Simplify the following:(a^4/b^2)^3Multiply each exponent in a^4/b^2 by 3:^(3×4))/(( b^2)^3)3×4 = 12:a^12/(b^2)^3Multiply exponents. (b^2)^3 = b^(2×3)^12/b^(2×3)2×3 = 6:Answer:^12/b^6


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