Example

Solve for $z$: $\quad (z+2)^{3/2} = 3$

Solution

The expression with the fractional exponent is already isolated. We can move directly to the solution process.

A $3/2$ power is a square root of a cube. We can undo a $3/2$ power by raising both sides to the $2/3$ power.

This solution must be checked in the original equation---you will see that it checks out.