Algebra Examples

$2 b^{\frac{1}{2}} {(3 b^{\frac{1}{2}} c^{\frac{1}{3}})}^{2}$

Step 1

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$2 \sqrt{b^{1}} {(3 b^{\frac{1}{2}} c^{\frac{1}{3}})}^{2}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$2 \sqrt{b^{1}} {(3 \sqrt{b^{1}} c^{\frac{1}{3}})}^{2}$

Step 3

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$2 \sqrt{b^{1}} {(3 \sqrt{b^{1}} \sqrt[3]{c^{1}})}^{2}$

Step 4

Anything raised to $1$ is the base itself.

$2 \sqrt{b} {(3 \sqrt{b^{1}} \sqrt[3]{c^{1}})}^{2}$

Step 5

Anything raised to $1$ is the base itself.

$2 \sqrt{b} {(3 \sqrt{b} \sqrt[3]{c^{1}})}^{2}$

Step 6

Anything raised to $1$ is the base itself.

$2 \sqrt{b} {(3 \sqrt{b} \sqrt[3]{c})}^{2}$