Finite Math Examples

$p v = 193 \cdot {(\frac{1 + 0.049}{0.049})}^{- 28}$

Step 1

Simplify.

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Step 1.1

Add $1$ and $0.049$ .

$p v = 193 \cdot {(\frac{1.049}{0.049})}^{- 28}$

Step 1.2

Divide $1.049$ by $0.049$ .

$p v = 193 \cdot {21.40816326}^{- 28}$

Step 1.3

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

$p v = 193 \cdot \frac{1}{{21.40816326}^{28}}$

Step 1.4

Combine $193$ and $\frac{1}{{21.40816326}^{28}}$ .

$p v = \frac{193}{{21.40816326}^{28}}$

Step 2

Divide each term in $p v = \frac{193}{{21.40816326}^{28}}$ by $v$ and simplify.

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Step 2.1

Divide each term in $p v = \frac{193}{{21.40816326}^{28}}$ by $v$ .

$\frac{p v}{v} = \frac{\frac{193}{{21.40816326}^{28}}}{v}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $v$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{p v}{v} = \frac{\frac{193}{{21.40816326}^{28}}}{v}$

Step 2.2.1.2

Divide $p$ by $1$ .

$p = \frac{\frac{193}{{21.40816326}^{28}}}{v}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$p = \frac{193}{{21.40816326}^{28}} \cdot \frac{1}{v}$

Step 2.3.2

Combine.

$p = \frac{193 \cdot 1}{{21.40816326}^{28} v}$

Step 2.3.3

Multiply $193$ by $1$ .

$p = \frac{193}{{21.40816326}^{28} v}$