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# What is the value of 6^x*6^y?

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What is the value of 6^x*6^y? [#permalink]

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13 Aug 2014, 11:17
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What is the value of 6^x*6^y?

(1) 2^(x+y) = 32
(2) 3^(x+y) = 243
[Reveal] Spoiler: OA

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Last edited by Bunuel on 13 Aug 2014, 11:20, edited 1 time in total.
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Re: What is the value of 6^x*6^y? [#permalink]

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13 Aug 2014, 11:24
What is the value of 6^x*6^y?

$$6^x*6^y=6^{x+y}$$, so to find the value of 6^x*6^y we need to find the value of x + y.

(1) 2^(x+y) = 32 --> $$2^{x+y} = 2^5$$ --> equate the powers: x + y = 5. Sufficient.

(2) 3^(x+y) = 243 --> $$3^{x+y} = 3^5$$ --> equate the powers: x + y = 5. Sufficient.

Answer: D.
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Re: What is the value of 6^x*6^y? [#permalink]

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10 Sep 2017, 22:11
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Re: What is the value of 6^x*6^y?   [#permalink] 10 Sep 2017, 22:11
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# What is the value of 6^x*6^y?

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