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equivalent to which of the following?
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20 Sep 2017, 02:18
20 Sep 2017, 02:18
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15% (02:24) wrong based on 45 sessions
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\(\frac{5^3 (4^{45} - 4^{43}) 27}{225^2}\) is equivalent to which of the following?
A. \(4^ {43}\)
B. \(4^{45}\)
C. \(4^{90} 5^3\)
D. \(4^{86} 5^3 3^3\)
E. \(4^{90} 5^3 3^3\)
Re: equivalent to which of the following?
[#permalink]
22 Sep 2017, 05:10
22 Sep 2017, 05:10
1
We can start by rewriting the expression as \(\frac{15^3(4^{45}-4^{43})}{15^4} = \frac{(4^{45}-4^{43})}{15} = \frac{4^{43}(4^2-1)}{15} = \frac{4^{43}*15}{15} = 4^{43}\). Answer A!
Re: equivalent to which of the following?
[#permalink]
12 May 2018, 01:45
12 May 2018, 01:45
IlCreatore wrote:
We can start by rewriting the expression as \(\frac{15^3(4^{45}-4^{43})}{15^4} = \frac{(4^{45}-4^{43})}{15} = \frac{4^{43}(4^2-1)}{15} = \frac{4^{43}*15}{15} = 4^{43}\). Answer A!
great way of solving the problem -- but how did you came to know that 225*225 will be 15 raised to the power of 4? how can I too solve the such problem in a 2 months time as I prepair for my THIRD GRE ATTEMPT?
