Need help with simplifying a complex expression?

Question

Hi everybody. I have an expression that I need to simplify, but I find difficult to do. I need to simplify the expression:

x^4/x^3 x^-3/2 + (x^2/sqrt x)^5/3

Please note that the negative in the power ^-3/2 is in front of the 3 and 2, so its ^ negative 3/2.

If anyone can help me out with simplifying this, I'd really appreciate it a lot. Thanks!

Answer 1

You have written x^3 and x^-3/2 next to each other. Is it x^4 divided by (x^3 x^-3/2), or is it x^4/x^3 multiplied by x^-3/2?

For the second bit, (x^2/sqrtx)^5/3 can be simplified to (x^10/3)/(x^5/6) because sqrtx = x^1/2.

This can then be simplified to x^5/2

Answer 2

is that {x^4 / (x^3 (x^-3/2) ) } + (x^2/sqrtx)^5/3  ?

if it is... then i'm working with this expression.

x^5