1.
original expression is shown.
2.
original ezpression is equivalent to what is shown here.
3.
the first term of 1/4^(5/2) is evaluated here to be equivalent to 1/32.
4.
the second term of 2x^2/x^(-7) is evaluated here to be equivalent to 2x^9
5.
the numerator of the third term of (z^4)^(3/2) is evaluated her to be equivalent to z^6.
6.
the third term of z^6 is divided by z and evaluated here to be equivalent to z^5.
7.
step 2 is evaluated here after having each of its terms replaced by their equivalents in steps 3,4,5,6.
your final solution is x^9 * z^5 / 16
this solution was confirmed by replace x with 3 and z with 3 and then evaluating both the original expression and the final expression.
since they both returned the same value, the solution is assumed to be good.
