Simplify (2x)(2x)(2x)

$(2 x) (2 x) (2 x)$

Step 1

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$2 (x \cdot x) \cdot 2 (2 x)$

Multiply $x$ by $x$ .

$2 x^{2} \cdot 2 (2 x)$

Step 2

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

Move $x$ .

$2 (x \cdot x^{2}) \cdot 2 \cdot 2$

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

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

$2 (x^{1} x^{2}) \cdot 2 \cdot 2$

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

$2 x^{1 + 2} \cdot 2 \cdot 2$

Add $1$ and $2$ .

$2 x^{3} \cdot 2 \cdot 2$

Step 3

Multiply $2$ by $2$ .

$4 x^{3} \cdot 2$

Step 4

Multiply $2$ by $4$ .

$8 x^{3}$