Simplify (7a^3)(6a^7)

$(7 a^{3}) (6 a^{7})$

Step 1

Rewrite using the commutative property of multiplication.

$7 \cdot 6 a^{3} a^{7}$

Step 2

Multiply $a^{3}$ by $a^{7}$ by adding the exponents.

Move $a^{7}$ .

$7 \cdot 6 (a^{7} a^{3})$

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

$7 \cdot 6 a^{7 + 3}$

Add $7$ and $3$ .

$7 \cdot 6 a^{10}$

Step 3

Multiply $7$ by $6$ .

$42 a^{10}$