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

10350 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the quadratic equation x^2+5x+6=0


Solve the simultaneous equations: 4x + 7y = 1, 3x + 10y = 15.


How do you multiply an "number" with powers for example a^3 * a^6


How do you measure the gradient of a straight line joining two points?


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