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

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Joined: 01 Sep 2010
Posts: 3414
Which of the following is equal to x^k for all positive values of x an  [#permalink]

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27 Aug 2018, 09:55
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1
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Difficulty:

15% (low)

Question Stats:

83% (00:47) correct 17% (00:34) wrong based on 42 sessions

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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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Joined: 31 Oct 2013
Posts: 1468
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Which of the following is equal to x^k for all positive values of x an  [#permalink]

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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:

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

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

= $$x^k$$
Re: Which of the following is equal to x^k for all positive values of x an   [#permalink] 27 Aug 2018, 11:38
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