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# Which of the following is equivalent to 6^5/3^−3?

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Re: Which of the following is equivalent to 6^5/3^−3? [#permalink]
Bunuel wrote:
Which of the following is equivalent to $$\frac{6^5}{3^{(−3)}}$$?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5

(6^5)/3^-3 = (2^5 *3^5) *3^3 = 2^5 *3^8

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Re: Which of the following is equivalent to 6^5/3^−3? [#permalink]
Bunuel wrote:
Which of the following is equivalent to $$\frac{6^5}{3^{(−3)}}$$?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5

Quote:
• $$\frac{1}{a^{-m}}=a^{m}$$ ---> 1
• $$(a*b)^m=a^m*b^m$$ ---> 2
• $$a^m*a^n=a^{m+n}$$ ---> 3

$$\frac{6^5}{3^{(−3)}}$$
==> $$6^5*3^3$$ [From 1]
==> $$(3*2)^5*3^3$$
==> $$3^5*2^5*3^3$$ [From 2]
==> $$2^5*3^{5+3}$$ [From 3]
==> $$2^5*3^8$$

D.
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Re: Which of the following is equivalent to 6^5/3^−3? [#permalink]
Bunuel wrote:
Which of the following is equivalent to $$\frac{6^5}{3^{(−3)}}$$?

A. 2^2

B. 2^8

C. 18^8

D. 2^5*3^8

E. 2^8*3^5

Let’s simplify the given equation:

6^5/3^-3

(3^5 x 2^5)/3^-3

3^8 x 2^5

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Re: Which of the following is equivalent to 6^5/3^−3? [#permalink]
Bunuel,

Is this a 600 level problem?

It can be solved in under 30 seconds, so just surprised.
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Re: Which of the following is equivalent to 6^5/3^−3? [#permalink]
I think it is <600 question... Way easy for mid 600

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Re: Which of the following is equivalent to 6^5/3^−3? [#permalink]
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