Question

Rewrite the following expression.

Answer 1

We have been given the expression

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

We have the exponent rule

`x^{(a)/(b)}= x^{a^{((1)/(b))}}`

Using this rule, we have

`x^{(9)/(7)}= x^{9^{((1)/(7))}}`

Now, using the fact that
`x^{(1)/(n)}=\sqrt[n]{x}`, we get

`x^{(9)/(7)}= \sqrt[7]{x^9}\\ \\ x^{(9)/(7)}=\sqrt[7]{x^7* x^2}\\ \\ x^{(9)/(7)}=x\sqrt[7]{x^2}`

D is the correct option.

Answer 2

D. x (⁷√x²)

Step-by-step explanation

x⁹/⁷ = ⁷√(x⁹)

= ⁷√(x⁷ × x²)

= (⁷√x⁷) × (⁷√x²)

= x (⁷√x²)

The answer is D.