What could be the value of n? 14^3-n< 164 | GMAT Sprint

Free Practice Question

PS · Problem Solving

655-705

Exponents/Powers

What could be the value of n? $\frac{1}{4}^{3-n}<\frac{1}{64}$

Answer Choices

Correct answer marked below

-n>0

Correct

n>-2

n<-3

n<4

n<-4

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Explanation

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Official Explanation

Official

To solve the inequality

\frac{1}{4}^{3-n}<\frac{1}{64}

, we first rewrite

\frac{1}{64}

\frac{1}{4}^{3}

.

This gives us

\frac{1}{4}^{3-n}<\frac{1}{4}^{3}

.…

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Comments

JanetFeb 1, 2025

thanksss

ManasiDec 23, 2024

thanks for posting

HarshMar 31, 2025

Thank you very much!

What this question tests

What it tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Common trap

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).

What could be the value of n?143−n<164\frac{1}{4}^{3-n}<\frac{1}{64}41​3−n<641​