Algebra Examples

Simplify $(- 4 r^{5}) (2 r^{8})$

Step 1

Rewrite using the commutative property of multiplication.

$- 4 \cdot 2 r^{5} r^{8}$

Step 2

Multiply $r^{5}$ by $r^{8}$ by adding the exponents.

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Step 2.1

Move $r^{8}$ .

$- 4 \cdot 2 (r^{8} r^{5})$

Step 2.2

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

$- 4 \cdot 2 r^{8 + 5}$

Step 2.3

Add $8$ and $5$ .

$- 4 \cdot 2 r^{13}$

Step 3

Multiply $- 4$ by $2$ .

$- 8 r^{13}$