How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4

Firstly, recall the indice rules which are applicable to the question, for example in this question we can use the rules:(x^a)^b = x^abx^-1 = 1/xx^1/2 = square root xSecondly, apply these rules to break down the formula into integers while showing workings, for example:81^-1/4(81^-1/2)^1/2 (1/81^1/2)^1/2(1/9)^1/21/3Note: we could have calculated this question without rule 1 by simply showing (1/81)^1/4. However, if this were a non-calculator question it would be easier to spot square roots.Lastly, show your answer clearly for the marker.

CH
Answered by Cameron H. Maths tutor

3324 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.


Prove that the sum of two consecutive integers is always odd


Solve the simultaneous equations: 4x+5y = 38 , x-y = 5


Fully expand (2x+4)(4x-3).


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