Question

What is the answer to this?

Answer 1

486

Explanation:

We start by getting the quotient.

That is f(x) divided by g(x)

We have this as;

f(x)/g(x) = 2x^3/2 divided by x^1/4

By law of indices division, we have this as;

2 * x^(3/2-1/4)

= 2 * x^(1.5-0.25)

= 2 * x^(1.25)

= 2x^5/4

Insert x = 81

That will be;

2 * (81)^5/4

`81^(5/4) =( \sqrt[4]{81} )^(5) = 3^(5) = 243`

Multiplying this by 2, we have;

2 * 243 = 486