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

Answer:

$x^{\frac{7}{9}}$

Step-by-step 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

$\sqrt[n]{x^a} = x^{\frac{a}{n}}$

The radical becomes the base of the fraction

$\sqrt[9]{x^7}=x^{\frac{7}{9}}$

we cannot simplify the fraction.

The given expression in exponential form is

$x^{\frac{7}{9}}$