Algebra Examples

$\sqrt[3]{\frac{\sqrt{x^{6} y^{8} z}}{125 z^{\frac{1}{2}}}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x^{6} y^{8} z}$ as ${(x^{6} y^{8} z)}^{\frac{1}{2}}$ .

$\sqrt[3]{\frac{{(x^{6} y^{8} z)}^{\frac{1}{2}}}{125 z^{\frac{1}{2}}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{\frac{{(x^{6} y^{8} z)}^{\frac{1}{2}}}{125 z^{\frac{1}{2}}}}$ as ${(\frac{{(x^{6} y^{8} z)}^{\frac{1}{2}}}{125 z^{\frac{1}{2}}})}^{\frac{1}{3}}$ .

${(\frac{{(x^{6} y^{8} z)}^{\frac{1}{2}}}{125 z^{\frac{1}{2}}})}^{\frac{1}{3}}$