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# Which of the following expressions is equivalent to (2x)^3(5x^2)(x^4)^

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Math Expert
Joined: 02 Sep 2009
Posts: 53061
Which of the following expressions is equivalent to (2x)^3(5x^2)(x^4)^  [#permalink]

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08 Feb 2019, 04:19
00:00

Difficulty:

25% (medium)

Question Stats:

80% (00:35) correct 20% (01:50) wrong based on 10 sessions

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Which of the following expressions is equivalent to $$(2x)^3(5x^2)(x^4)^5$$ ?

A. $$10x^{15}$$

B. $$20x^{15}$$

C. $$20x^{25}$$

D. $$40x^{15}$$

E. $$40x^{25}$$

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Re: Which of the following expressions is equivalent to (2x)^3(5x^2)(x^4)^  [#permalink]

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08 Feb 2019, 04:26
Bunuel wrote:
Which of the following expressions is equivalent to $$(2x)^3(5x^2)(x^4)^5$$ ?

A. $$10x^{15}$$

B. $$20x^{15}$$

C. $$20x^{25}$$

D. $$40x^{15}$$

E. $$40x^{25}$$

$$(2x)^3 = 2^3x^3$$

$$5 x^2$$

$$x^{4*5} = x^{20}$$

$$x^3 *x^2*x^20 = x^{25}.$$

8*5 = 40.

$$40x^{25}$$

Re: Which of the following expressions is equivalent to (2x)^3(5x^2)(x^4)^   [#permalink] 08 Feb 2019, 04:26
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# Which of the following expressions is equivalent to (2x)^3(5x^2)(x^4)^

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