Of the following, which is greatest? : Problem Solving (PS)

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Of the following, which is greatest?

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Math Expert

Joined: 02 Sep 2009

Posts: 50613

Of the following, which is greatest? [#permalink]

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05 Jul 2018, 00:48

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Difficulty:

5% (low)

Question Stats:

78% (00:36) correct

22% (00:29) wrong

based on 87 sessions

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Of the following, which is greatest?

A. $(\frac{1}{5})^{(−2)}$

B. $(\frac{1}{3})^{(−2)}$

C. $3^{(−2)}$

D. $5^{(−2)}$

E. $2^3$

Spoiler: OA

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Re: Of the following, which is greatest? [#permalink]

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05 Jul 2018, 01:13

Bunuel wrote:

Of the following, which is greatest?

A. $(\frac{1}{5})^{(−2)}$

B. $(\frac{1}{3})^{(−2)}$

C. $3^{(−2)}$

D. $5^{(−2)}$

E. $2^3$

Hi...

When there is a negative power, the numerator and denominator interchange and power becomes positive..

A. $(\frac{1}{5})^{(−2)}=5^3=25$

B. $(\frac{1}{3})^{(−2)}=3^2=9$

C. $3^{(−2)}=(1/3)^2=1/9$

D. $5^{(−2)}=(1/5)^2=1/25$

E. $2^3=8$

Ans A
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Re: Of the following, which is greatest? [#permalink]

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05 Jul 2018, 01:33

Ans: A
C and D are out of the picture because they will give fraction of 1/n; so it can not be the greatest.
Out of A=25, B=9 and E=8, A is the highest for A= 25.

Bunuel wrote:

Of the following, which is greatest?

A. $(\frac{1}{5})^{(−2)}$

B. $(\frac{1}{3})^{(−2)}$

C. $3^{(−2)}$

D. $5^{(−2)}$

E. $2^3$

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