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Simplify (2a^2)(4a^3y^2)

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

Step 1

Multiply $a^{2}$ by $a^{3}$ by adding the exponents.

Move $a^{3}$ .

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

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

$2 a^{3 + 2} (4 y^{2})$

Add $3$ and $2$ .

$2 a^{5} (4 y^{2})$

$2 a^{5} (4 y^{2})$

Step 2

Rewrite using the commutative property of multiplication.

$2 \cdot 4 a^{5} y^{2}$

Step 3

Multiply $2$ by $4$ .

$8 a^{5} y^{2}$

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