Simplify ( cube root of x^10)/( cube root of x^7)

$\frac{\sqrt[3]{x^{10}}}{\sqrt[3]{x^{7}}}$

Combine $\sqrt[3]{x^{10}}$ and $\sqrt[3]{x^{7}}$ into a single radical.

$\sqrt[3]{\frac{x^{10}}{x^{7}}}$

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{x^{10}}{x^{7}}$ by cancelling the common factors.

Factor $x^{7}$ out of $x^{10}$ .

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

Multiply by $1$ .

$\sqrt[3]{\frac{x^{7} x^{3}}{x^{7} \cdot 1}}$

Cancel the common factor.

$\sqrt[3]{\frac{x^{7} x^{3}}{x^{7} \cdot 1}}$

Rewrite the expression.

$\sqrt[3]{\frac{x^{3}}{1}}$

Divide $x^{3}$ by $1$ .

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

Pull terms out from under the radical, assuming real numbers.

$x$