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17 February, 11:52

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

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Answers (1)
  1. 17 February, 14:37
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    D. x to the power of nine

    Step-by-step 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
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