How would we evaluate (1/3)^-3/2 ?

When evaluating more complex exponentials it is helpful to break them up into smaller steps. so when we are aproched with (1/3)-3/2 we should first look at the effect that the negative sighn has on the fraction, which is too flip the fraction over into (3/1) or more simply just 3. then we look at the effect of each part of the fractional indicey seperatly. The three on the top initialy cubes the number in the bracket, and the 2 on the bottom square roots this result. This gives us a final answer of the square root of 27.

RR
Answered by Riley R. Maths tutor

4572 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Show that r^2(r + 1)^2 - r^2(r - 1)^2 ≡ 4r^3.


Calculate the volume obtained when rotating the curve y=x^2 360 degrees around the x axis for 0<x<2


If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?


Solve the following equation, give the answer/answers as coordinates. y=3x^2 , y=2x+5.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning