Question

Rewrite in simplest radical form X to the power of 5/6 divided by x to the power of 1/6

Answer 1

x^(5/6) / x^(1/6) =
x^(5/6 - 1/6) quotient rule =
x^(4/6) simplify =
x^(2/3)

X to the power of 2/3

Answer 2

`\sqrt[3]{x^2}`

Explanation:

x ^ (5/6) / x ^ (1/6)

We know that a ^b / a^ c = a^ (b-c)

x^ ( 5/6 - 1/6)

x^ (4/6)

x^ ( 2/3)

`\sqrt[3]{x^2}`