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

6473 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise and solve 4(x)^2-2x=0


explain and show how quadratic equations are solved


The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.


4x^2 + 8x + 3 can be written in the form a(x + b)^2 + c where a, b and c are whole numbers. Work out the values of a, b and c.


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