Finite Math Examples

$(0.92 J) \cdot (\frac{1 (e v)}{{1.6}^{- 19} J}) \cdot \frac{1}{0.000124 e v}$

Step 1

Multiply $0.000124$ by $e$ .

$(0.92 J) \cdot (\frac{1 (e v)}{{1.6}^{- 19} J}) \cdot \frac{1}{0.00033706 v}$

Step 2

Multiply $e$ by $1$ .

$0.92 J \cdot \frac{e v}{{1.6}^{- 19} J} \cdot \frac{1}{0.00033706 v}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$0.92 J \cdot \frac{e v}{\frac{1}{{1.6}^{19}} J} \cdot \frac{1}{0.00033706 v}$

Step 3.2

Raise $1.6$ to the power of $19$ .

$0.92 J \cdot \frac{e v}{\frac{1}{7555.78637259} J} \cdot \frac{1}{0.00033706 v}$

Step 3.3

Divide $1$ by $7555.78637259$ .

$0.92 J \cdot \frac{e v}{0.00013234 J} \cdot \frac{1}{0.00033706 v}$

Step 4

Simplify terms.

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Step 4.1

Cancel the common factor of $J$ .

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Step 4.1.1

Factor $J$ out of $0.92 J$ .

$J \cdot 0.92 \cdot \frac{e v}{0.00013234 J} \cdot \frac{1}{0.00033706 v}$

Step 4.1.2

Factor $J$ out of $0.00013234 J$ .

$J \cdot 0.92 \cdot \frac{e v}{J \cdot 0.00013234} \cdot \frac{1}{0.00033706 v}$

Step 4.1.3

Cancel the common factor.

$J \cdot 0.92 \cdot \frac{e v}{J \cdot 0.00013234} \cdot \frac{1}{0.00033706 v}$

Step 4.1.4

Rewrite the expression.

$0.92 \cdot \frac{e v}{0.00013234} \cdot \frac{1}{0.00033706 v}$

Step 4.2

Combine $0.92$ and $\frac{e v}{0.00013234}$ .

$\frac{0.92 (e v)}{0.00013234} \cdot \frac{1}{0.00033706 v}$

Step 4.3

Multiply $e$ by $0.92$ .

$\frac{2.50081928 v}{0.00013234} \cdot \frac{1}{0.00033706 v}$

Step 4.4

Factor $2.50081928$ out of $2.50081928 v$ .

$\frac{2.50081928 (v)}{0.00013234} \cdot \frac{1}{0.00033706 v}$

Step 4.5

Factor $0.00013234$ out of $0.00013234$ .

$\frac{2.50081928 (v)}{0.00013234 (1)} \cdot \frac{1}{0.00033706 v}$

Step 5

Separate fractions.

$\frac{2.50081928}{0.00013234} \cdot \frac{v}{1} \cdot \frac{1}{0.00033706 v}$

Step 6

Simplify the expression.

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Step 6.1

Divide $2.50081928$ by $0.00013234$ .

$18895.65625262 \frac{v}{1} \cdot \frac{1}{0.00033706 v}$

Step 6.2

Divide $v$ by $1$ .

$18895.65625262 v \cdot \frac{1}{0.00033706 v}$

Step 7

Cancel the common factor of $v$ .

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Step 7.1

Factor $v$ out of $18895.65625262 v$ .

$v \cdot 18895.65625262 \cdot \frac{1}{0.00033706 v}$

Step 7.2

Factor $v$ out of $0.00033706 v$ .

$v \cdot 18895.65625262 \cdot \frac{1}{v \cdot 0.00033706}$

Step 7.3

Cancel the common factor.

$v \cdot 18895.65625262 \cdot \frac{1}{v \cdot 0.00033706}$

Step 7.4

Rewrite the expression.

$18895.65625262 \cdot \frac{1}{0.00033706}$

Step 8

Combine $18895.65625262$ and $\frac{1}{0.00033706}$ .

$\frac{18895.65625262}{0.00033706}$

Step 9

Divide $18895.65625262$ by $0.00033706$ .

$56059060.18374294$