Calculate the value of ( 13)^-4( 19)^-3( 127)^-2=

Calculate the value of ( 13)^-4( 19)^-3( 127)… | GMAT Sprint

Free Practice Question

PS · Problem Solving

sub-505

Exponents/Powers

Calculate the value of $(\frac{1}{3})^{-4}(\frac{1}{9})^{-3}(\frac{1}{27})^{-2}=$

Correct answer marked below

(\frac{1}{3})^{(-54)}

(\frac{1}{3})^{(-16)}

Correct

(\frac{1}{3})^{(-12)}

(\frac{1}{9})^{(-18)}

(\frac{1}{9})^{(-12)}

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Explanation

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To solve

(\frac{1}{3})^{-4}(\frac{1}{9})^{-3}(\frac{1}{27})^{-2}=

, we can rewrite the fractions in terms of powers of 3. We have

(\frac{1}{3})^{-4} = 3^4

,…

Comments

ErikJun 17, 2024

got this wrong on my practice

MaeApr 13, 2025

Thank you very much!

AvniJun 1

huh, I picked C because I forgot the middle term contributes more than I thought. tricky for a low-difficulty question ngl

AswinJun 11

yeah the (1/9)^-3 trips people up, easy to miscount the exponent there

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).