Question

How to simplify this so it equal to c

Answer 1

Combine terms using exponent rules:

`a^m *a^n = a^(m+n) \\ \\ (a^m)/(a^n) = a^(m-n)`

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


`(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 √(2) x^3`