Simplify (3x^2y)(5x)

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

Step 1

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

Move $x$ .

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

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

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

$3 (x^{1} x^{2}) y \cdot 5$

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

$3 x^{1 + 2} y \cdot 5$

Add $1$ and $2$ .

$3 x^{3} y \cdot 5$

Step 2

Multiply $5$ by $3$ .

$15 x^{3} y$