Which of the following is equal to

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Question:
Which of the following is equal to (-3/4)-3?

(a) (3/4)-3

(b) – (3/4)-3

(c) (4/3)3

(d) (-4/3)3

Solution:

(d) (-4/3)3

Explanation: (-3/4)-3 = 1/(-3/4)3 = (-4/3)3

(By the law of exponents: a-n = 1/an)