Question

X^9/7 convert from exponent form to radical form

Answer 1

`x^{(9)/(7)} = \sqrt[7]{x^9}`

Explanation:

You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.

Note also that the order does not matter. You could also express it as

`\sqrt[7]{x}^9`

The reason this works is that you're effectively breaking the exponent into fractions. The first answer is the equivalent of:

`(x^9)^(1/7)`

and the second would be:

`(x^(1/7))^9`

In both cases, the exponents would be multiplied, giving the same result.