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



\(4^5+4^7\)
\(4^5(1+4^2)\)
\(17*4^5\)

Option C
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Re: What is the value of 4^5+4^7? [#permalink]
Expert Reply
Top Contributor
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) \(7(4^5)\)


Take: \(4^5+4^7\)
Factor: \(4^5(1+4^2)\)
Evaluate: \(4^5(1+16)\)
Simplify: \(4^5(17)\)

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