Question

Simplify the expression.

the quantity x to the three halves power end quantity to the power of 6


A. x to the power of one ninth

B. x to the power of one sixth

C. x to the power of six

D. x to the power of nine

Answer 1

D. x to the power of nine (x^9)

Explanation:

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Answer 2

D. x to the power of nine

Explanation:

The applicable rule of exponents is ...

(x^a)^b = x^(ab)

You have a=3/2, b=6, so ab = 3/2·6 = 9.

(x^(3/2))^6 = x^(3/2·6) = x^9