Finite Math Examples

$400 {(1 + \frac{12}{1200})}^{60}$

Step 1

Cancel the common factor of $12$ and $1200$ .

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Step 1.1

Factor $12$ out of $12$ .

$400 {(1 + \frac{12 (1)}{1200})}^{60}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $12$ out of $1200$ .

$400 {(1 + \frac{12 \cdot 1}{12 \cdot 100})}^{60}$

Step 1.2.2

Cancel the common factor.

$400 {(1 + \frac{12 \cdot 1}{12 \cdot 100})}^{60}$

Step 1.2.3

Rewrite the expression.

$400 {(1 + \frac{1}{100})}^{60}$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$400 {(\frac{100}{100} + \frac{1}{100})}^{60}$

Step 2.2

Combine the numerators over the common denominator.

$400 {(\frac{100 + 1}{100})}^{60}$

Step 2.3

Add $100$ and $1$ .

$400 {(\frac{101}{100})}^{60}$

Step 2.4

Apply the product rule to $\frac{101}{100}$ .

$400 \frac{101^{60}}{100^{60}}$

Step 3

Combine $400$ and $\frac{101^{60}}{100^{60}}$ .

$\frac{400 \cdot 101^{60}}{100^{60}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{400 \cdot 101^{60}}{100^{60}}$

Decimal Form:

$726.67867942 \dots$