Question

Which of the following represents ninth root of x to the seventh power in exponential form?

Answer 1

The exponent is 7/9 like this x^⁷⁄₉.

Answer 2

`x^{(7)/(9)}`

Explanation:

write ninth root of x to the seventh power in exponential form

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

To write the radical in exponential form we use the below property

`\sqrt[n]{x^a} = x^{(a)/(n)}`

The radical becomes the base of the fraction

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

we cannot simplify the fraction.

The given expression in exponential form is

`x^{(7)/(9)}`