What is the value of (3^5)^(3^2)=? | GMAT Sprint

Free Practice Question

PS · Problem Solving

sub-505

Exponents/Powers

What is the value of $(3^5)^{(3^2)}=$ ?

Answer Choices

Correct answer marked below

3^{7}

3^{15}

3^{25}

3^{45}

Correct

3^{75}

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Explanation

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Official Explanation

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(3^2) = 9

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Comments

KingdomNov 19, 2024

this pattern comes up frequently

209Dec 28, 2024

Good question

KshitizSep 7

thanks, easy one. just multiply the exponents right?

WendySep 19

yep, power to a power means you multiply them

JakubSep 18

that's all there is to it

ChahatAug 21

got D. the 3^2 tripped me up for a sec before i realized it's just 9 sitting up there

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 is the value of (35)(32)=(3^5)^{(3^2)}=(35)(32)=?