Basic Math Examples

$(3.1 \cdot 10^{3} m) (3 \cdot 10^{- 5} m)$

Step 1

Rewrite using the commutative property of multiplication.

$3.1 \cdot 10^{3} \cdot 3 \cdot 10^{- 5} m \cdot m$

Step 2

Multiply $10^{3}$ by $10^{- 5}$ by adding the exponents.

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Step 2.1

Move $10^{- 5}$ .

$3.1 \cdot (10^{- 5} \cdot 10^{3}) \cdot 3 m \cdot m$

Step 2.2

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

$3.1 \cdot 10^{- 5 + 3} \cdot 3 m \cdot m$

Step 2.3

Add $- 5$ and $3$ .

$3.1 \cdot 10^{- 2} \cdot 3 m \cdot m$

Step 3

Multiply $m$ by $m$ by adding the exponents.

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Step 3.1

Move $m$ .

$3.1 \cdot 10^{- 2} \cdot 3 (m \cdot m)$

Step 3.2

Multiply $m$ by $m$ .

$3.1 \cdot 10^{- 2} \cdot 3 m^{2}$

Step 4

Multiply $3.1$ by $3$ .

$9.3 \cdot 10^{- 2} m^{2}$

Step 5

Reorder factors in $9.3 \cdot 10^{- 2} m^{2}$ .

$9.3 m^{2} \cdot 10^{- 2}$