Simplify (-2x^3)^2yy^9

${(- 2 x^{3})}^{2} \cdot y \cdot y^{9}$

Multiply $y$ by $y^{9}$ by adding the exponents.

Move $y^{9}$ .

${(- 2 x^{3})}^{2} \cdot (y^{9} y)$

Multiply $y^{9}$ by $y$ .

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

${(- 2 x^{3})}^{2} \cdot (y^{9} y^{1})$

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

${(- 2 x^{3})}^{2} \cdot y^{9 + 1}$

Add $9$ and $1$ .

${(- 2 x^{3})}^{2} \cdot y^{10}$

Apply the product rule to $- 2 x^{3}$ .

${(- 2)}^{2} {(x^{3})}^{2} \cdot y^{10}$

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

$4 {(x^{3})}^{2} \cdot y^{10}$

Multiply the exponents in ${(x^{3})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$4 x^{3 \cdot 2} \cdot y^{10}$

Multiply $3$ by $2$ .

$4 x^{6} \cdot y^{10}$

$4 x^{6} y^{10}$

Simplify (-2x^3)^2*y*y^9