Calculus Examples

$(2.2 \cdot 10^{- 4} m) \cdot (2.5 \cdot 10^{- 3} m)$

Step 1

Rewrite using the commutative property of multiplication.

$2.2 \cdot 10^{- 4} \cdot 2.5 \cdot 10^{- 3} m \cdot m$

Step 2

Multiply $10^{- 4}$ by $10^{- 3}$ by adding the exponents.

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Step 2.1

Move $10^{- 3}$ .

$2.2 \cdot (10^{- 3} \cdot 10^{- 4}) \cdot 2.5 m \cdot m$

Step 2.2

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

$2.2 \cdot 10^{- 3 - 4} \cdot 2.5 m \cdot m$

Step 2.3

Subtract $4$ from $- 3$ .

$2.2 \cdot 10^{- 7} \cdot 2.5 m \cdot m$

Step 3

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

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Step 3.1

Move $m$ .

$2.2 \cdot 10^{- 7} \cdot 2.5 (m \cdot m)$

Step 3.2

Multiply $m$ by $m$ .

$2.2 \cdot 10^{- 7} \cdot 2.5 m^{2}$

Step 4

Multiply $2.2$ by $2.5$ .

$5.5 \cdot 10^{- 7} m^{2}$

Step 5

Reorder factors in $5.5 \cdot 10^{- 7} m^{2}$ .

$5.5 m^{2} \cdot 10^{- 7}$