Finite Math Examples

6000 {(1 + \frac{56}{6000})}^{72} = A

$6000 {(1 + \frac{56}{6000})}^{72} = A$

Step 1

Rewrite the equation as

A = 6000 {(1 + \frac{56}{6000})}^{72}

$A = 6000 {(1 + \frac{56}{6000})}^{72}$ .

A = 6000 {(1 + \frac{56}{6000})}^{72}

$A = 6000 {(1 + \frac{56}{6000})}^{72}$

Step 2

Simplify

6000 {(1 + \frac{56}{6000})}^{72}

$6000 {(1 + \frac{56}{6000})}^{72}$ .

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Step 2.1

Cancel the common factor of

56

$56$ and

6000

$6000$ .

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Step 2.1.1

Factor

8

$8$ out of

56

$56$ .

A = 6000 {(1 + \frac{8 (7)}{6000})}^{72}

$A = 6000 {(1 + \frac{8 (7)}{6000})}^{72}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor

8

$8$ out of

6000

$6000$ .

A = 6000 {(1 + \frac{8 \cdot 7}{8 \cdot 750})}^{72}

$A = 6000 {(1 + \frac{8 \cdot 7}{8 \cdot 750})}^{72}$

Step 2.1.2.2

Cancel the common factor.

A = 6000 {(1 + \frac{8 \cdot 7}{8 \cdot 750})}^{72}

$A = 6000 {(1 + \frac{8 \cdot 7}{8 \cdot 750})}^{72}$

Step 2.1.2.3

Rewrite the expression.

A = 6000 {(1 + \frac{7}{750})}^{72}

$A = 6000 {(1 + \frac{7}{750})}^{72}$

A = 6000 {(1 + \frac{7}{750})}^{72}

$A = 6000 {(1 + \frac{7}{750})}^{72}$

A = 6000 {(1 + \frac{7}{750})}^{72}

$A = 6000 {(1 + \frac{7}{750})}^{72}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

A = 6000 {(\frac{750}{750} + \frac{7}{750})}^{72}

$A = 6000 {(\frac{750}{750} + \frac{7}{750})}^{72}$

Step 2.2.2

Combine the numerators over the common denominator.

A = 6000 {(\frac{750 + 7}{750})}^{72}

$A = 6000 {(\frac{750 + 7}{750})}^{72}$

Step 2.2.3

Add

750

$750$ and

7

$7$ .

A = 6000 {(\frac{757}{750})}^{72}

$A = 6000 {(\frac{757}{750})}^{72}$

Step 2.2.4

Apply the product rule to

\frac{757}{750}

$\frac{757}{750}$ .

A = 6000 \frac{757^{72}}{750^{72}}

$A = 6000 \frac{757^{72}}{750^{72}}$

A = 6000 \frac{757^{72}}{750^{72}}

$A = 6000 \frac{757^{72}}{750^{72}}$

Step 2.3

Combine

6000

$6000$ and

\frac{757^{72}}{750^{72}}

$\frac{757^{72}}{750^{72}}$ .

A = \frac{6000 \cdot 757^{72}}{750^{72}}

$A = \frac{6000 \cdot 757^{72}}{750^{72}}$

A = \frac{6000 \cdot 757^{72}}{750^{72}}

$A = \frac{6000 \cdot 757^{72}}{750^{72}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

A = \frac{6000 \cdot 757^{72}}{750^{72}}

$A = \frac{6000 \cdot 757^{72}}{750^{72}}$

Decimal Form:

A = 11712.33835660 \dots

$A = 11712.33835660 \dots$