Question

How do you simplify `\frac { 2x ^ { 2} y ^ { \frac { 3} { 2} } z ^ { \frac { 1} { 2} } } { y ^ { \frac { 7} { 4} } }`?

Answer 1

`2x^2y^(-1/4)z^(1/2)`

Explanation:

Using your index laws

Looking at number two, it tells you that you can minus the powers of the same pronumeral

ie `3/2-7/4=-1/4`
so your answer should be
`2x^2y^(-1/4)z^(1/2)`