Simplify 9x(5x^2)

$9 x (5 x^{2})$

Step 1

Rewrite using the commutative property of multiplication.

$9 \cdot 5 x \cdot x^{2}$

Step 2

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

Move $x^{2}$ .

$9 \cdot 5 (x^{2} x)$

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

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

$9 \cdot 5 (x^{2} x^{1})$

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

$9 \cdot 5 x^{2 + 1}$

Add $2$ and $1$ .

$9 \cdot 5 x^{3}$

Step 3

Multiply $9$ by $5$ .

$45 x^{3}$