Given that a^4.5 > b^3.5 > c^2.5, which of th… | GMAT Sprint

Free Practice Question

PS · Problem Solving

655-705

Exponents/Powers

Given that $a^{4.5} > b^{3.5} > c^{2.5}$ , which of the following statements cannot hold true?

Correct answer marked below

a > b > c

a < b < c

a^4 < b^3 < c

Correct

a^8 < b^6 < c^4

a^{12.5} > b^{8.5} > c^{5.5}

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Explanation

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Official Explanation

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a^{4.5} > b^{3.5} > c^{2.5}

, it implies that

a

must be greater than

b

,…

Comments

YaelMar 28, 2025

thanks a lot

LangFeb 23, 2024

thank you very much!

HrishikeshJan 30, 2025

thanks a lot

What this question tests

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

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