Find the Product -6p(p^4-8)

$- 6 p (p^{4} - 8)$

Apply the distributive property.

$- 6 p \cdot p^{4} - 6 p \cdot - 8$

Multiply $p$ by $p^{4}$ by adding the exponents.

Move $p^{4}$ .

$- 6 (p^{4} p) - 6 p \cdot - 8$

Multiply $p^{4}$ by $p$ .

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

$- 6 (p^{4} p^{1}) - 6 p \cdot - 8$

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

$- 6 p^{4 + 1} - 6 p \cdot - 8$

Add $4$ and $1$ .

$- 6 p^{5} - 6 p \cdot - 8$

Multiply $- 8$ by $- 6$ .

$- 6 p^{5} + 48 p$