Simplify 6x^2(3x)

$6 x^{2} (3 x)$

Step 1

Rewrite using the commutative property of multiplication.

$6 \cdot 3 x^{2} x$

Step 2

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

Move $x$ .

$6 \cdot 3 (x \cdot x^{2})$

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

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

$6 \cdot 3 (x^{1} x^{2})$

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

$6 \cdot 3 x^{1 + 2}$

Add $1$ and $2$ .

$6 \cdot 3 x^{3}$

Step 3

Multiply $6$ by $3$ .

$18 x^{3}$