Simplify 2x^2(6y^3)(2x^2y)

$2 x^{2} (6 y^{3}) (2 x^{2} y)$

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

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Move $x^{2}$ .

$2 (x^{2} x^{2}) (6 y^{3}) (2 y)$

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

$2 x^{2 + 2} (6 y^{3}) (2 y)$

Add $2$ and $2$ .

$2 x^{4} (6 y^{3}) (2 y)$

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

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Move $y$ .

$2 x^{4} (6 (y \cdot y^{3})) \cdot 2$

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

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

$2 x^{4} (6 (y^{1} y^{3})) \cdot 2$

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

$2 x^{4} (6 y^{1 + 3}) \cdot 2$

Add $1$ and $3$ .

$2 x^{4} (6 y^{4}) \cdot 2$

Rewrite using the commutative property of multiplication.

$2 \cdot 6 (x^{4} y^{4}) \cdot 2$

Multiply $2$ by $6$ .

$12 (x^{4} y^{4}) \cdot 2$

Multiply $2$ by $12$ .

$24 x^{4} y^{4}$

Simplify 2x^2(6y^3)(2x^2y)

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