How can I calculate the value of a number raised to the power of a fraction, e.g., 9^(3/2)?

In order to calculate the value of a number raised to the power of a fraction, you first find the root of the number according to the value of the denominator (bottom number of the fraction).

In the example given in the question, 9 is the number provided, and the denominator of the fraction is 2.

Therefore, you would, firstly, find the square root of 9, which is 3. ²√9 = 3

Then, you would raise the answer you get to the power of the value of the numerator (top number in a fraction). In this example, the numerator is 3, so you would raise 3 to the power of 3, which gives you 27. 3³ = 27 [final answer]

Answered by Elsa A. Maths tutor

10426 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

what is: a) 1/3 +1/4 ? b) 4/6 + 3/12?


Solve the simultaneous equations: 2x-y=x+4; x^2+4y^2=37


A game consists of 5 cups turned upside down, under one of the cups is a prize. 5 friend's pick a cup in turn and lifts it up, if they get the prize, they win , but if not, the cup is removed and the next friend picks. What position is it best to pick?


How do you expand out and simply brackets, like the following: (x-3)(x+4)?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences