Write with Rational (Fractional) Exponents ( cube root of x^7)/( square root of x^3)

$\frac{\sqrt[3]{x^{7}}}{\sqrt{x^{3}}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{x^{7}}$ as $x^{\frac{7}{3}}$ .

$\frac{x^{\frac{7}{3}}}{\sqrt{x^{3}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x^{3}}$ as $x^{\frac{3}{2}}$ .

$\frac{x^{\frac{7}{3}}}{x^{\frac{3}{2}}}$