Simplify 8p^15*(-p)^4

$8 p^{15} \cdot {(- p)}^{4}$

Step 1

Apply the product rule to $- p$ .

$8 p^{15} \cdot ({(- 1)}^{4} p^{4})$

Step 2

Rewrite using the commutative property of multiplication.

$8 \cdot {(- 1)}^{4} p^{15} p^{4}$

Step 3

Multiply $p^{15}$ by $p^{4}$ by adding the exponents.

Move $p^{4}$ .

$8 \cdot {(- 1)}^{4} (p^{4} p^{15})$

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

$8 \cdot {(- 1)}^{4} p^{4 + 15}$

Add $4$ and $15$ .

$8 \cdot {(- 1)}^{4} p^{19}$

Step 4

Raise $- 1$ to the power of $4$ .

$8 \cdot 1 p^{19}$

Step 5

Multiply $8$ by $1$ .

$8 p^{19}$