Finite Math Examples

$8 m^{- 5} \cdot (5 m^{8})$

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

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

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Step 2.1

Move $m^{8}$ .

$8 \cdot 5 (m^{8} m^{- 5})$

Step 2.2

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

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

Step 2.3

Subtract $5$ from $8$ .

$8 \cdot 5 m^{3}$

Step 3

Multiply $8$ by $5$ .

$40 m^{3}$