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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7361
GMAT 1: 760 Q51 V42 GPA: 3.82
Let A=2^{50}, B=3^{30}, and C=4^{20}. Which of the following is true?  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 58% (01:31) correct 42% (01:27) wrong based on 49 sessions

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[Math Revolution GMAT math practice question]

Let $$A=2^{50}, B=3^{30}$$, and $$C=4^{20}.$$ Which of the following is true?

$$A. A<B<C$$
$$B. A<C<B$$
$$C. B<A<C$$
$$D. B<C<A$$
$$E. C<B<A$$

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Manager  S
Joined: 08 Jan 2013
Posts: 106
Re: Let A=2^{50}, B=3^{30}, and C=4^{20}. Which of the following is true?  [#permalink]

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3
C = 4^20 = 2^40 = (2^4)^10 = (16)^10
B = 3^30 = (3^3)^10 = (27)^10
A = 2^50 = (2^5)^10 = (32)^10

16 < 27 < 32, therefore (16)^10 < (27)^10 < (32)^10

So, C<B<A.

Answer => E.
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7361
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: Let A=2^{50}, B=3^{30}, and C=4^{20}. Which of the following is true?  [#permalink]

### Show Tags

1
=>

$$A = 2^{50} = (2^5)^{10} = (32)^{10}$$
$$B = 3^{30} = (3^3)^{10} = (27)^{10}$$
$$C = 4^{20} = (4^2)^{10} = (16)^{10}$$

Thus, $$(16)^{10} < (27)^{10} < (32)^{10}$$ and $$C < B < A.$$

Therefore, the answer is E.
Answer: E
_________________ Re: Let A=2^{50}, B=3^{30}, and C=4^{20}. Which of the following is true?   [#permalink] 28 Nov 2018, 02:09
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# Let A=2^{50}, B=3^{30}, and C=4^{20}. Which of the following is true?

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