Question

Which expression is equivalent to (4^−3)^−6?

Answer 1

Here, we are required to provide an expression which is equivalent to (4^−3)^−6.

An expression which is equivalent to (4^−3)^−6 is (4)^-9.

By the law of indices;

• (2^a)^b = 2^(a+b)

By comparison, I'm the question above, a = -3 and b = -6

Therefore, the algebraic sum of -3 and -6 gives;

• (-3) + (-6) = -9

Ultimately, (4^−3)^−6 = (4)^-9.

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