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What is the value of 4^5+4^7?

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What is the value of 4^5+4^7?  [#permalink]

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New post 25 Oct 2019, 03:14
2
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A
B
C
D
E

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  15% (low)

Question Stats:

76% (00:41) correct 24% (00:51) wrong based on 104 sessions

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What is the value of 4^5+4^7?  [#permalink]

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New post 25 Oct 2019, 04:09
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\(4^5+4^7=4^5(1+4^2)=4^5(1+16)=17(4^5)\)

Answer is (C)

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Re: What is the value of 4^5+4^7?  [#permalink]

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New post 27 Oct 2019, 21:24
4^5 + 4^7

First we can factor out 4^5 and we are left with;

4^5(1 + 4^2)

Then we can compute 4^2, which is 16.

4^5(1 + 16)

the result is;

4^5(17)
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Re: What is the value of 4^5+4^7?  [#permalink]

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New post 26 Nov 2019, 09:26
Whenever you have addition or subtraction of same bases raised to different exponents, try factoring out the least common exponent.

4^5+4^7 = 4^5(1+4^2)
=4^5(17)
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Re: What is the value of 4^5+4^7?  [#permalink]

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New post 02 Dec 2019, 20:41
Bunuel wrote:
What is the value of \(4^5+4^7\)?

(A) \(4^{12}\)
(B) \(4^{35}\)
(C) \(17(4^5)\)
(D) \(8^{12}\)
(E) \(7(4^5)\)



Simplifying, we have:

4^5(1 + 4^2) = 4^5(17)

Answer: C
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Re: What is the value of 4^5+4^7?  [#permalink]

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New post 03 Dec 2019, 16:47
Someone could explain me in details how is the process of factoring out the least common of an exponent?
I tried to figure out by myself but didn't find any theoretical material
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Re: What is the value of 4^5+4^7?   [#permalink] 03 Dec 2019, 16:47
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