Question

How to simplify this so it equal to c

Answer 1

Combine terms using exponent rules:
$a^m *a^n = a^{m+n} \\ \\ \frac{a^m}{a^n} = a^{m-n}$

First rewrite everything so that you have 2^m terms and x^m terms

$\frac{2^4 x^4 x^{3/2}}{2^{5/2} x^{5/2}} \\ \\ = 2^{4 - (5/2)} * x^{4 + (3/2)-(5/2)} \\ \\ =2^{(3/2)} x^{(6/2)} \\ \\ = 2 \sqrt{2} x^3$