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23-02-2018
Mathematics

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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

Respuesta :

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23-02-2018

The answer is B: a^12/b^6

Proof:

Simplify the following:
(a^4/b^2)^3

Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)

3×4 = 12:
a^12/(b^2)^3

Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer: a^12/b^6

Answer Link

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