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The number of digits in the number (4^11)(5^25) = ?

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The number of digits in the number (4^11)(5^25) = ?  [#permalink]

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New post Updated on: 18 Sep 2015, 05:24
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  45% (medium)

Question Stats:

64% (01:18) correct 36% (01:39) wrong based on 182 sessions

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The number of digits in the number (4^11)(5^25) = ?

A) 22
B) 23
C) 24
D) 25
E) 26

Originally posted by amithy on 18 Sep 2015, 05:11.
Last edited by Bunuel on 18 Sep 2015, 05:24, edited 1 time in total.
RENAMED THE TOPIC.
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Re: The number of digits in the number (4^11)(5^25) = ?  [#permalink]

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New post 18 Sep 2015, 06:33
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amithyarli wrote:
The number of digits in the number (4^11)(5^25) = ?

A) 22
B) 23
C) 24
D) 25
E) 26


\(4^{11} * 5^{25}\)

= \(2^{22} * 5^{25}\)

= \(2^{22} * 5^{22}*5^3\)

= \(5^3*10^{22}\)

= \(125 * 10^{22}\)

There are 3 digits in 125 and 22 0s after it.
Total digits = 22 + 3 =25

Answer:-D
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Re: The number of digits in the number (4^11)(5^25) = ?  [#permalink]

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New post 23 Jul 2017, 18:46
1
amithyarli wrote:
The number of digits in the number (4^11)(5^25) = ?

A) 22
B) 23
C) 24
D) 25
E) 26


\((4^{11})(5^{25})\)

\((2{^2})^{11}(5^{25})\)

\((2^{22})(5^{25})\)

\((2^{22} * 5^{22}) 5^3\)

\((10^{22}) 125\)

\((10^{22})\) will have \(22\) digits.

\(125\) has \(3\) digits.

Total number of digits \(=> 22 + 3 = 25\) digits.

Answer (D)...

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Re: The number of digits in the number (4^11)(5^25) = ?  [#permalink]

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New post 04 Nov 2018, 07:29
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The number of digits in the number (4^11)(5^25) = ?   [#permalink] 04 Nov 2018, 07:29
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