Finite Math Examples

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

Step 1

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

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

Step 2

Simplify the expression.

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Step 2.1

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

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

Step 2.2

Divide $1$ by $1068229.26377133$ .

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

Step 2.3

Multiply $0.00000093$ by $0.01$ .

$p = 0 \cdot (308^{4} - 293^{4})$

Step 3

Simplify each term.

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Step 3.1

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

$p = 0 \cdot (8999178496 - 293^{4})$

Step 3.2

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

$p = 0 \cdot (8999178496 - 1 \cdot 7370050801)$

Step 3.3

Multiply $- 1$ by $7370050801$ .

$p = 0 \cdot (8999178496 - 7370050801)$

Step 4

Simplify the expression.

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Step 4.1

Subtract $7370050801$ from $8999178496$ .

$p = 0 \cdot 1629127695$

Step 4.2

Multiply $0$ by $1629127695$ .

$p = 15.25073081$