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

Related Maths A Level answers

All answers ▸

How do I integrate fractions of quadratic or cubic terms?


A block of mass 5kg is at rest on a smooth horizontal table, and connected to blocks of 3kg and 4kg which are hanging by strings via pulleys on either end of the table. Find the acceleration of the system and the tension in each string.


A curve has equation x^2 + 2xy – 3y^2 + 16 = 0. Find the coordinates of the points on the curve where dy/dx =0


Differentiate y=sin(x)/5x^3 with respect to x