Finite Math Examples

$p = {5.67}^{- 8} \cdot (0.01 (308^{4} - 293^{4}))$

Step 1

Remove parentheses.

$p = {5.67}^{- 8} \cdot (0.01 (308^{4} - 293^{4}))$

Step 2

Simplify ${5.67}^{- 8} \cdot (0.01 (308^{4} - 293^{4}))$ .

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Step 2.1

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

$p = \frac{1}{{5.67}^{8}} \cdot (0.01 (308^{4} - 293^{4}))$

Step 2.2

Simplify the expression.

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Step 2.2.1

Raise $5.67$ to the power of $8$ .

$p = \frac{1}{1068229.26377133} \cdot (0.01 (308^{4} - 293^{4}))$

Step 2.2.2

Divide $1$ by $1068229.26377133$ .

$p = 0.00000093 \cdot (0.01 (308^{4} - 293^{4}))$

Step 2.3

Simplify each term.

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Step 2.3.1

Raise $308$ to the power of $4$ .

$p = 0.00000093 \cdot (0.01 (8999178496 - 293^{4}))$

Step 2.3.2

Raise $293$ to the power of $4$ .

$p = 0.00000093 \cdot (0.01 (8999178496 - 1 \cdot 7370050801))$

Step 2.3.3

Multiply $- 1$ by $7370050801$ .

$p = 0.00000093 \cdot (0.01 (8999178496 - 7370050801))$

Step 2.4

Subtract $7370050801$ from $8999178496$ .

$p = 0.00000093 \cdot (0.01 \cdot 1629127695)$

Step 2.5

Multiply $0.00000093 (0.01 \cdot 1629127695)$ .

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Step 2.5.1

Multiply $0.01$ by $1629127695$ .

$p = 0.00000093 \cdot 16291276.95$

Step 2.5.2

Multiply $0.00000093$ by $16291276.95$ .

$p = 15.25073081$