Basic Math 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

$4$ .

$2 m^{1}$

$2 m^{1}$

Step 3

Simplify

$2 m^{1}$ .

$2 m$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$