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

6513 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Complete this substitution question: x^​3 - 25 = 103 - x^​3


Paul organised an event for a charity. Each ticket for the event cost £19.95 Paul sold 395 tickets. Paul paid costs of £6000 He gave all money left to the charity. (a) Work out an estimate for the amount of money Paul gave to the charity.


Solve the following simultaneous equations 3x+y=11 and 2x+y=8


Solve the simultaneous equations 3x + y = 11 and 2x + y = 8.


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