Algebra Examples

$(2 c^{\frac{2}{5}}) (2^{3} c^{\frac{2}{5}})$

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

Multiply $2$ by $2^{3}$ by adding the exponents.

Tap for more steps...

Step 2.1

Multiply $2$ by $2^{3}$ .

Tap for more steps...

Step 2.1.1

Raise $2$ to the power of $1$ .

$2^{1} \cdot 2^{3} c^{\frac{2}{5}} c^{\frac{2}{5}}$

Step 2.1.2

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

$2^{1 + 3} c^{\frac{2}{5}} c^{\frac{2}{5}}$

Step 2.2

Add $1$ and $3$ .

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

Step 3

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

Tap for more steps...

Step 3.1

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

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

Step 3.2

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

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

Step 3.3

Combine the numerators over the common denominator.

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

Step 3.4

Add $2$ and $2$ .

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

Step 4

Raise $2$ to the power of $4$ .

$16 c^{\frac{4}{5}}$