Answer:
486
Step-by-step 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
[tex]81^{5/4} =( \sqrt[4]{81} )^{5} = 3^{5} = 243[/tex]
Multiplying this by 2, we have;
2 * 243 = 486
