Work out the value of (16/81)^3/4

Treat each component separately and break it down...Note that when a number has a power that is a fraction, the numerator acts as a power and the denominator acts as a root(16)^1/4 = 2. Okay, brilliant!So what about (16)^3/4? If it makes it easier, this can be rewritten as [(16)^1/4]^3[(16)^1/4]^3 = [2]^3 = 8. Well done! Why would it be relevant to work out (81)^3/4? How can you show that, by answering this, you can find the answer to (16/81)^3/4?

MT
Answered by Maisie T. Maths tutor

6516 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Sarah used to earn 80£ per week, however she was given a 5% pay rise, what are her weekly earnings now?


How do you use the quadratic formula?


How do i change a recurring decimal into a fraction?


Solve 7x+6 > 1+2x


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