Simplify x^2y(7xy^4)

$x^{2} y (7 x y^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$7 x^{2} y (x y^{4})$

Step 2

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

Move $x$ .

$7 (x \cdot x^{2}) y \cdot y^{4}$

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

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

$7 (x^{1} x^{2}) y \cdot y^{4}$

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

$7 x^{1 + 2} y \cdot y^{4}$

Add $1$ and $2$ .

$7 x^{3} y \cdot y^{4}$

Step 3

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

Move $y^{4}$ .

$7 x^{3} (y^{4} y)$

Multiply $y^{4}$ by $y$ .

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

$7 x^{3} (y^{4} y^{1})$

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

$7 x^{3} y^{4 + 1}$

Add $4$ and $1$ .

$7 x^{3} y^{5}$