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Which of the following is equal to x^k for all positive values of x an

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Which of the following is equal to x^k for all positive values of x an  [#permalink]

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New post 27 Aug 2018, 09:55
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Which of the following is equal to \(x^k\) for all positive values of x and k ?

A. \((x^\frac{k}{4})^\frac{3}{4}\)

B. \(\frac{x^k}{x^{2k}}\)

C. \(x^\frac{k}{2} + x^\frac{k}{2}\)

D. \((x^\frac{k}{2})^2\)

E. \((x^k)^k\)

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Re: Which of the following is equal to x^k for all positive values of x an  [#permalink]

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New post 27 Aug 2018, 11:38
carcass wrote:
Which of the following is equal to \(x^k\) for all positive values of x and k ?

A. \((x^\frac{k}{4})^\frac{3}{4}\)

B. \(\frac{x^k}{x^{2k}}\)

C. \(x^\frac{k}{2} + x^\frac{k}{2}\)

D. \((x^\frac{k}{2})^2\)

E. \((x^k)^k\)



Option D:

\((x^\frac{k}{2})^2\)

= \((x^\frac{2k}{2})\)

= \(x^k\)
GMAT Club Bot
Re: Which of the following is equal to x^k for all positive values of x an &nbs [#permalink] 27 Aug 2018, 11:38
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