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# 6^6 is equal to which of the following?

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Re: 6^6 is equal to which of the following? [#permalink]
Bunuel wrote:
6^6 is equal to which of the following?

A. 46,656
B. 48,752
C. 49,660
D. 50,662
E. 51,608

Solution: ((63)2)=216*216=46656
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Re: 6^6 is equal to which of the following? [#permalink]
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in powers only 5 and 6 is multiplied so many times itself.
last digits will 5 and 6 respectively.

so option A only have 6 in last digit.

so option A is correct.
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Re: 6^6 is equal to which of the following? [#permalink]
There is no need to calculate, 6^ of any power will be ending with units digit in 6.
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Re: 6^6 is equal to which of the following? [#permalink]
The cyclicity of 6 is one => 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6...
Hence the UD will be 6
so A must be the choice
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Re: 6^6 is equal to which of the following? [#permalink]
6^6 is equal to which of the following?

A. 46,656
B. 48,752
C. 49,660
D. 50,662
E. 51,608

2^6 * 3^3 * 3^3
64*27*27 = 7*7*4 = 6 (Units digit) It only matches with A.
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Re: 6^6 is equal to which of the following? [#permalink]
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Re: 6^6 is equal to which of the following? [#permalink]
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