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{4^8 - 3^8}/{4^4 + 3^4}=
[#permalink]
12 Nov 2017, 00:34
12 Nov 2017, 00:34
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Question Stats:
72% (01:02) correct
27% (01:49) wrong based on 18 sessions
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\(\frac{4^8 - 3^8}{4^4 + 3^4}=\)
A. 7
B. 25
C. 156
D. 175
E. 216
Kudos for correct solution.
A. 7
B. 25
C. 156
D. 175
E. 216
Kudos for correct solution.
Re: {4^8 - 3^8}/{4^4 + 3^4}=
[#permalink]
13 Nov 2017, 00:00
13 Nov 2017, 00:00
1
The numerator can be seen as a difference of square since \(4^8-3^8 = (4^4)^2-(3^4)^2 = (4^4-3^4)(4^4+3^4)\). Then we can simplify the fraction as \(4^4-3^4\), which can be rewritten itself as \((4^2)^2-(3^2)^2 = (4^2+3^9)(4^2-3^2) = 25*7 = 175\).
Answer D
Answer D
Re: {4^8 - 3^8}/{4^4 + 3^4}=
[#permalink]
22 Jun 2023, 23:30
22 Jun 2023, 23:30
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