Simplify (-3x^3y^2)(5xy^-1)

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

Step 1

Multiply $x^{3}$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x^{3}$ .

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

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

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

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

Add $1$ and $3$ .

$- 3 x^{4} y^{2} (5 y^{- 1})$

Step 2

Multiply $y^{2}$ by $y^{- 1}$ by adding the exponents.

Move $y^{- 1}$ .

$- 3 x^{4} (y^{- 1} y^{2}) \cdot 5$

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

$- 3 x^{4} y^{- 1 + 2} \cdot 5$

Add $- 1$ and $2$ .

$- 3 x^{4} y^{1} \cdot 5$

Step 3

Simplify $- 3 x^{4} y^{1} \cdot 5$ .

$- 3 x^{4} y \cdot 5$

Step 4

Multiply $5$ by $- 3$ .

$- 15 x^{4} y$