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Bunuel
Of the following, which is greatest?


A. \((\frac{1}{5})^{(−2)}\)

B. \((\frac{1}{3})^{(−2)}\)

C. \(3^{(−2)}\)

D. \(5^{(−2)}\)

E. \(2^3\)



Option A :

\((\frac{1}{5})^{(−2)}\)

= 1 / (1/ \(5 ^2\))

= 25.

Thus the best answer is A.
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Solution


To find:
    • Which is greatest among the given options?

Approach and Working:
    • \((1/5)^{-2}\) = \((5^{-1})^{-2}\)= \(5^2\) = 25
    • Similarly, \((1/3)^{-2} = 3^2\) = 9
    • \(3^{-2} = 1/3^2\) = 1/9
    • Similarly, \(5^{-2}\) = 1/25
    • \(2^3\) = 8

Hence, the correct answer is option A.

Answer: A
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Bunuel
Of the following, which is greatest?


A. \((\frac{1}{5})^{(−2)}\)

B. \((\frac{1}{3})^{(−2)}\)

C. \(3^{(−2)}\)

D. \(5^{(−2)}\)

E. \(2^3\)

Simplifying answers A through E, we have:

25, 9, 1/9, 1/25, 8

So, the greatest is A.

Answer: A
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Hello from the GMAT Club BumpBot!

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Hello from the GMAT Club BumpBot!

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