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

Answer : Option 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


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]
Expert Reply
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

Answer: D
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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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