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Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)  [#permalink]

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Which of the following is equivalent to $$(2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)$$?

(A) $$(2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]$$

(B) $$(2^2)(3^4)[7 + (3)(5) + 11]$$

(C) $$(2)(3)[7 + 5 + 11]$$

(D) $$(2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]$$

(E) $$(2)(3^4)[7 + (2)(3)(5) + 11]$$

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Originally posted by pushpitkc on 02 Nov 2018, 04:40.
Last edited by Bunuel on 02 Nov 2018, 04:42, edited 1 time in total.
Renamed the topic and edited the question.
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GMAT 1: 540 Q49 V16 GMAT 2: 680 Q49 V33 Re: Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)  [#permalink]

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pushpitkc wrote:
Which of the following is equivalent to $$(2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)$$?

(A) $$(2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]$$

(B) $$(2^2)(3^4)[7 + (3)(5) + 11]$$

(C) $$(2)(3)[7 + 5 + 11]$$

(D) $$(2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]$$

(E) $$(2)(3^4)[7 + (2)(3)(5) + 11]$$

$$(2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)$$ ..... if we take out the common term $$(2^2)(3^3)$$ from each expression we get A: $$(2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]$$ ..... Ans A
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Re: Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)  [#permalink]

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pushpitkc wrote:
Which of the following is equivalent to $$(2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)$$?

(A) $$(2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]$$

(B) $$(2^2)(3^4)[7 + (3)(5) + 11]$$

(C) $$(2)(3)[7 + 5 + 11]$$

(D) $$(2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]$$

(E) $$(2)(3^4)[7 + (2)(3)(5) + 11]$$

The factors that are common to all three terms are 2^2 and 3^3. Factoring them out, we have:

(2^2)(3^3)[2 x 3 x 7 + 3^2 x 5 + 2^2 x 11]

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)   [#permalink] 03 Nov 2018, 17:59
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