Question

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

Answer 1

To rewrite the expression with rational exponents we have to know that:

n√x = x ^1/n

Knowing that we can write the expression using rational exponents:

`\frac{z^{(8)/(3)}\cdot y^{(4)/(5)}}{xy\cdot x^{(1)/(2)}}`

Simplify

`\frac{z^{(8)/(3)}}{x^{(3)/(2)}y^{(1)/(5)}}`