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Bunuel
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What is the decimal equivalent of (2/5)^4? 12 Oct 2017, 23:22
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5% (low)

Question Stats:

85% (00:57) correct 15% (01:02) wrong based on 224 sessions

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What is the decimal equivalent of (2/5)^4?

(A) 0.44
(B) 0.16
(C) 0.048
(D) 0.0256
(E) 0.0064
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D
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What is the decimal equivalent of (2/5)^4? 12 Oct 2017, 23:35
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Bunuel
What is the decimal equivalent of (2/5)^4?

(A) 0.44
(B) 0.16
(C) 0.048
(D) 0.0256
(E) 0.0064
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2/5 is 0.4
4^4 = 256
(0.4)^4 will be equal to 0.0256 (4 decimal places)
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What is the decimal equivalent of (2/5)^4? 20 Jul 2018, 21:04
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niks18 Bunuel chetan2u pikolo2510

Any alternative approach than not knowing powers of 4?
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What is the decimal equivalent of (2/5)^4? 20 Jul 2018, 21:25
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\((\frac{2}{5})^4\) = \((\frac{4}{10})^4\) = \(\frac{256}{10000} = 0.0256\)

Hence option D
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What is the decimal equivalent of (2/5)^4? 20 Jul 2018, 21:34
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adkikani
niks18 Bunuel chetan2u pikolo2510

Any alternative approach than not knowing powers of 4?
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Hi since you want to avoid calculating 4^4..
2/5 can be written as 2*2/5*2=4/10...
Now what should be the units digit....
4^1=4...4^2=16 so 6, 4^3=4*6, so 4 ..
Therefore 4,6,4,6,4,6...
Therefore 4^4 will have 6 as units digit...
What about the number of decimal ....10^4=1000 so 4 decimals.
Something like 0.xyz6

Only one choice is of this format
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What is the decimal equivalent of (2/5)^4? 20 Jul 2018, 22:14
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(2/5 )=0.4=4/10

Therefore (4/10)^4=(4^4)/(10^4)
=256/10000. =0.0256



Press Kudos if it helps !!
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What is the decimal equivalent of (2/5)^4? 06 May 2020, 08:30
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What is the decimal equivalent of (2/5)^4?

(2/5 )=4/10
so,(4/10)^4=256/10000 =0.0256

correct answer D
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