Simplify (2a^3)(5a^4)

$(2 a^{3}) (5 a^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$2 \cdot 5 a^{3} a^{4}$

Step 2

Multiply $a^{3}$ by $a^{4}$ by adding the exponents.

Move $a^{4}$ .

$2 \cdot 5 (a^{4} a^{3})$

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

$2 \cdot 5 a^{4 + 3}$

Add $4$ and $3$ .

$2 \cdot 5 a^{7}$

Step 3

Multiply $2$ by $5$ .

$10 a^{7}$