Algebra Examples

$\sqrt[m]{a} \sqrt[n]{b} \sqrt[3]{c^{x}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[m]{a}$ as $a^{\frac{1}{m}}$ .

$a^{\frac{1}{m}} \sqrt[n]{b} \sqrt[3]{c^{x}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[n]{b}$ as $b^{\frac{1}{n}}$ .

$a^{\frac{1}{m}} b^{\frac{1}{n}} \sqrt[3]{c^{x}}$

Step 3

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

$a^{\frac{1}{m}} b^{\frac{1}{n}} c^{\frac{x}{3}}$