Finite Math Examples

$p = 5.67 \cdot \frac{10^{- 8} W}{m^{2} K^{4}} \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 1

Simplify the numerator.

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Step 1.1

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

$p = 5.67 \cdot \frac{\frac{1}{10^{8}} W}{m^{2} K^{4}} \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 1.2

Raise $10$ to the power of $8$ .

$p = 5.67 \cdot \frac{\frac{1}{100000000} W}{m^{2} K^{4}} \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 2

Combine $\frac{1}{100000000}$ and $W$ .

$p = 5.67 \cdot \frac{\frac{W}{100000000}}{m^{2} K^{4}} \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$p = 5.67 \cdot (\frac{W}{100000000} \cdot \frac{1}{m^{2} K^{4}}) \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 4

Combine.

$p = 5.67 \cdot \frac{W \cdot 1}{100000000 (m^{2} K^{4})} \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 5

Multiply $W$ by $1$ .

$p = 5.67 \cdot \frac{W}{100000000 (m^{2} K^{4})} \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 6

Combine $5.67$ and $\frac{W}{100000000 m^{2} K^{4}}$ .

$p = \frac{5.67 W}{100000000 m^{2} K^{4}} \cdot (0.06 m^{2}) \cdot (280.15 K^{4})$

Step 7

Rewrite using the commutative property of multiplication.

$p = 0.06 \frac{5.67 W}{100000000 m^{2} K^{4}} m^{2} \cdot (280.15 K^{4})$

Step 8

Factor $5.67$ out of $5.67 W$ .

$p = 0.06 \frac{5.67 (W)}{100000000 m^{2} K^{4}} m^{2} \cdot (280.15 K^{4})$

Step 9

Factor $100000000$ out of $100000000 m^{2} K^{4}$ .

$p = 0.06 \frac{5.67 (W)}{100000000 (m^{2} K^{4})} m^{2} \cdot (280.15 K^{4})$

Step 10

Separate fractions.

$p = 0.06 (\frac{5.67}{100000000} \cdot \frac{W}{m^{2} K^{4}}) m^{2} \cdot (280.15 K^{4})$

Step 11

Divide $5.67$ by $100000000$ .

$p = 0.06 (0.00000005 \frac{W}{m^{2} K^{4}}) m^{2} \cdot (280.15 K^{4})$

Step 12

Combine $0.00000005$ and $\frac{W}{m^{2} K^{4}}$ .

$p = 0.06 \frac{0.00000005 W}{m^{2} K^{4}} m^{2} \cdot (280.15 K^{4})$

Step 13

Multiply $0.06 \frac{0.00000005 W}{m^{2} K^{4}}$ .

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Step 13.1

Combine $0.06$ and $\frac{0.00000005 W}{m^{2} K^{4}}$ .

$p = \frac{0.06 (0.00000005 W)}{m^{2} K^{4}} m^{2} \cdot (280.15 K^{4})$

Step 13.2

Multiply $0.00000005$ by $0.06$ .

$p = \frac{0 W}{m^{2} K^{4}} m^{2} \cdot (280.15 K^{4})$

Step 14

Rewrite using the commutative property of multiplication.

$p = 280.15 \frac{0 W}{m^{2} K^{4}} m^{2} K^{4}$

Step 15

Multiply $280.15 \frac{0 W}{m^{2} K^{4}}$ .

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Step 15.1

Combine $280.15$ and $\frac{0 W}{m^{2} K^{4}}$ .

$p = \frac{280.15 (0 W)}{m^{2} K^{4}} m^{2} K^{4}$

Step 15.2

Multiply $0$ by $280.15$ .

$p = \frac{0.00000095 W}{m^{2} K^{4}} m^{2} K^{4}$

Step 16

Cancel the common factor of $m^{2}$ .

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Step 16.1

Factor $m^{2}$ out of $m^{2} K^{4}$ .

$p = \frac{0.00000095 W}{m^{2} (K^{4})} m^{2} K^{4}$

Step 16.2

Cancel the common factor.

$p = \frac{0.00000095 W}{m^{2} K^{4}} m^{2} K^{4}$

Step 16.3

Rewrite the expression.

$p = \frac{0.00000095 W}{K^{4}} K^{4}$

Step 17

Cancel the common factor of $K^{4}$ .

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Step 17.1

Cancel the common factor.

$p = \frac{0.00000095 W}{K^{4}} K^{4}$

Step 17.2

Rewrite the expression.

$p = 0.00000095 W$