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^{\frac{9}{5}}\cdot y^{\frac{4}{7}}}{wy\cdot w^{\frac{1}{2}}}$

Simplify:

$\frac{z^{\frac{9}{5}}}{w^{\frac{3}{2}}y^{\frac{3}{7}}}$