Question

Rewrite in simplest radical form
X^5/6 / X^1/6

Answer 1

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

Explanation:

The rule of exponents says that we must use subtraction for
`(5)/(6)` and
`(1)/(6)` since we are dividing.

Thus, we have
`(x^(5)/(6) )/(x^(1)/(6) )\\\\(5)/(6)-(1)/(6)=x^(4)/(6)=x^(2)/(3)`

When dealing with fractions and radicals, we can find the simplest radical form by using the saying
`(exponent)/(index)`

Thus we have
`\sqrt[3]{x^2}`