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

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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)

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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]
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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) $$7(4^5)$$

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