Simplify (3x)^2(5x)

${(3 x)}^{2} (5 x)$

Step 1

Rewrite using the commutative property of multiplication.

$5 {(3 x)}^{2} x$

Step 2

Apply the product rule to $3 x$ .

$5 (3^{2} x^{2}) x$

Step 3

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

Move $x$ .

$5 (3^{2} (x \cdot x^{2}))$

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

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

$5 (3^{2} (x^{1} x^{2}))$

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

$5 (3^{2} x^{1 + 2})$

Add $1$ and $2$ .

$5 (3^{2} x^{3})$

Step 4

Raise $3$ to the power of $2$ .

$5 (9 x^{3})$

Step 5

Multiply $9$ by $5$ .

$45 x^{3}$