Simplify (-8m^4)(4m^8)

$(- 8 m^{4}) (4 m^{8})$

Step 1

Rewrite using the commutative property of multiplication.

$- 8 \cdot 4 m^{4} m^{8}$

Step 2

Multiply $m^{4}$ by $m^{8}$ by adding the exponents.

Move $m^{8}$ .

$- 8 \cdot 4 (m^{8} m^{4})$

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

$- 8 \cdot 4 m^{8 + 4}$

Add $8$ and $4$ .

$- 8 \cdot 4 m^{12}$

Step 3

Multiply $- 8$ by $4$ .

$- 32 m^{12}$