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# Which of the following is equal to x^18 for all positive values of x ?

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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08 Oct 2018, 02:49
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Difficulty:

5% (low)

Question Stats:

96% (00:26) correct 4% (00:47) wrong based on 67 sessions

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Which of the following is equal to $$x^{18}$$ for all positive values of x ?

A. $$x^9 + x^9$$

B. $$(x^2)^9$$

C. $$(x^9)^9$$

D. $$(x^3)^{15}$$

E. $$\frac{x^4}{x^{22}}$$

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Re: Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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08 Oct 2018, 03:00
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Bunuel wrote:
Which of the following is equal to $$x^{18}$$ for all positive values of x ?

A. $$x^9 + x^9$$

B. $$(x^2)^9$$

C. $$(x^9)^9$$

D. $$(x^3)^{15}$$

E. $$\frac{x^4}{x^{22}}$$

$$x^a^b$$ = $$x^{a*b}$$

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Re: Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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08 Oct 2018, 03:21
Answer choice B , for all positive values of X
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Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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08 Oct 2018, 04:20
Bunuel wrote:
Which of the following is equal to $$x^{18}$$ for all positive values of x ?

A. $$x^9 + x^9$$

B. $$(x^2)^9$$

C. $$(x^9)^9$$

D. $$(x^3)^{15}$$

E. $$\frac{x^4}{x^{22}}$$

Given ,

$$x^{18}$$

=$$(x^2)^9$$

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Re: Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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08 Oct 2018, 08:29
Bunuel wrote:
Which of the following is equal to $$x^{18}$$ for all positive values of x ?

A. $$x^9 + x^9$$

B. $$(x^2)^9$$

C. $$(x^9)^9$$

D. $$(x^3)^{15}$$

E. $$\frac{x^4}{x^{22}}$$

Certainly (B) for the reasons cited by the users above.
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Abhishek....

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Re: Which of the following is equal to x^18 for all positive values of x ?   [#permalink] 08 Oct 2018, 08:29
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