Algebra Examples

$m^{4} \cdot 2 m^{- 3}$

Step 1

Rewrite using the commutative property of multiplication.

$2 m^{4} m^{- 3}$

Step 2

Multiply $m^{4}$ by $m^{- 3}$ by adding the exponents.

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Step 2.1

Move $m^{- 3}$ .

$2 (m^{- 3} m^{4})$

Step 2.2

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

$2 m^{- 3 + 4}$

Step 2.3

Add $- 3$ and $4$ .

$2 m^{1}$

Step 3

Simplify $2 m^{1}$ .

$2 m$