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]

EA
Answered by Elsa A. Maths tutor

10758 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What does it mean to "complete the square"?


Can you solve the following 2 simultaneous equations; y=6x-2 and x^2-4x+19=y?


£3000 is invested for 2 years at 3.8% per annum compound interest. What is the total interest earned over the 2 years?


Tommy, Anna and Jacob all have 40 sweets. they decide to split the sweets between each other in the ratio 1:4:5. Calculate how many sweets each get, rounding down your answer where necessary.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences