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

Related Maths GCSE answers

All answers ▸

How to solve an equation when the variable is in the denominator?


Solve the equation: x^2 + 9x + 20 = 0


How do you find the length of a side of a right-angled triangle given the angle and the hypotenuse?


How do I factorise quadratic equations?