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)}

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official

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!

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).