For a non-zero integer x,

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Question:
For a non-zero integer x, (x4)-3 is equal to:

(a) x12

(b) x-12

(c) x64

(d) x-64

Solution:

(b) x-12

Explanation: (x4)-3 = x4×(-3) = x-12

(By the law of exponents: (am)n=amn)