Algebra Examples

$(x^{\frac{1}{5}}) (2 x^{\frac{2}{5}})$

Step 1

Rewrite using the commutative property of multiplication.

$2 x^{\frac{1}{5}} x^{\frac{2}{5}}$

Step 2

Multiply $x^{\frac{1}{5}}$ by $x^{\frac{2}{5}}$ by adding the exponents.

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Step 2.1

Move $x^{\frac{2}{5}}$ .

$2 (x^{\frac{2}{5}} x^{\frac{1}{5}})$

Step 2.2

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

$2 x^{\frac{2}{5} + \frac{1}{5}}$

Step 2.3

Combine the numerators over the common denominator.

$2 x^{\frac{2 + 1}{5}}$

Step 2.4

Add $2$ and $1$ .

$2 x^{\frac{3}{5}}$