Algebra Examples

$(5 p^{3}) (- m^{8} p^{2})$

Step 1

Multiply $p^{3}$ by $p^{2}$ by adding the exponents.

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Step 1.1

Move $p^{2}$ .

$5 (p^{2} p^{3}) (- m^{8})$

Step 1.2

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

$5 p^{2 + 3} (- m^{8})$

Step 1.3

Add $2$ and $3$ .

$5 p^{5} (- m^{8})$

Step 2

Rewrite using the commutative property of multiplication.

$5 \cdot - 1 p^{5} m^{8}$

Step 3

Multiply $5$ by $- 1$ .

$- 5 p^{5} m^{8}$