Question

Rewrite the following expression.

Answer 1

We have been given the expression

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

We have the exponent rule

$x^{\frac{a}{b}}= x^{a^{(\frac{1}{b})}}$

Using this rule, we have

$x^{\frac{9}{7}}= x^{9^{(\frac{1}{7})}}$

Now, using the fact that $x^{\frac{1}{n}}=\sqrt[n]{x}$, we get

$x^{\frac{9}{7}}= \sqrt[7]{x^9}\\ \\ x^{\frac{9}{7}}=\sqrt[7]{x^7\times x^2}\\ \\ x^{\frac{9}{7}}=x\sqrt[7]{x^2}$

D is the correct option.

Answer 2

Answer

D.  x (⁷√x²)

Explanation

x⁹/⁷  = ⁷√(x⁹)

      = ⁷√(x⁷ × x²)

       = (⁷√x⁷) × (⁷√x²)

        = x (⁷√x²)

The answer is D.