Simplify (x^3y^2)(xy^4)

$(x^{3} y^{2}) (x y^{4})$

Step 1

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

Move $x$ .

$x \cdot x^{3} y^{2} y^{4}$

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

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

$x^{1} x^{3} y^{2} y^{4}$

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

$x^{1 + 3} y^{2} y^{4}$

Add $1$ and $3$ .

$x^{4} y^{2} y^{4}$

Step 2

Multiply $y^{2}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$x^{4} (y^{4} y^{2})$

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

$x^{4} y^{4 + 2}$

Add $4$ and $2$ .

$x^{4} y^{6}$