Question

Use rational exponents to rewrite the following espression. Assume that any variables are positive.

Answer 1

Any radical expression can be written using rational exponents, in the form:

n√X = x ^1/n

So, for this case:

`\frac{^5\sqrt[]{^{}z^9}\cdot^{7\sqrt[]{y^4}}}{wy\sqrt[]{w}}`
`\frac{z^{(9)/(5)}\cdot y^{(4)/(7)}}{wy\cdot w^{(1)/(2)}}`

Simplify:

`\frac{z^{(9)/(5)}}{w^{(3)/(2)}y^{(3)/(7)}}`