Algebra Examples

$5 c^{\frac{2}{5}} \cdot 3 c^{\frac{4}{5}}$

Step 1

Multiply $3$ by $5$ .

$15 c^{\frac{2}{5}} c^{\frac{4}{5}}$

Step 2

Multiply $c^{\frac{2}{5}}$ by $c^{\frac{4}{5}}$ by adding the exponents.

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Step 2.1

Move $c^{\frac{4}{5}}$ .

$15 (c^{\frac{4}{5}} c^{\frac{2}{5}})$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$15 c^{\frac{4}{5} + \frac{2}{5}}$

Step 2.3

Combine the numerators over the common denominator.

$15 c^{\frac{4 + 2}{5}}$

Step 2.4

Add $4$ and $2$ .

$15 c^{\frac{6}{5}}$

Step 3

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

$15 \sqrt[5]{c^{6}}$