Basic Math Examples

$3200 (\frac{{(1 + 0.05)}^{45} - {(1 + 0.04)}^{45}}{0.05 - 0.04})$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.05$ .

$3200 \frac{{1.05}^{45} - {(1 + 0.04)}^{45}}{0.05 - 0.04}$

Step 1.2

Raise $1.05$ to the power of $45$ .

$3200 \frac{8.98500779 - {(1 + 0.04)}^{45}}{0.05 - 0.04}$

Step 1.3

Add $1$ and $0.04$ .

$3200 \frac{8.98500779 - {1.04}^{45}}{0.05 - 0.04}$

Step 1.4

Raise $1.04$ to the power of $45$ .

$3200 \frac{8.98500779 - 1 \cdot 5.84117568}{0.05 - 0.04}$

Step 1.5

Multiply $- 1$ by $5.84117568$ .

$3200 \frac{8.98500779 - 5.84117568}{0.05 - 0.04}$

Step 1.6

Subtract $5.84117568$ from $8.98500779$ .

$3200 \frac{3.14383211}{0.05 - 0.04}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $0.04$ from $0.05$ .

$3200 (\frac{3.14383211}{0.01})$

Step 2.2

Cancel the common factor of $0.01$ .

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Step 2.2.1

Factor $0.01$ out of $3200$ .

$0.01 (320000) \frac{3.14383211}{0.01}$

Step 2.2.2

Cancel the common factor.

$0.01 \cdot 320000 \frac{3.14383211}{0.01}$

Step 2.2.3

Rewrite the expression.

$320000 \cdot 3.14383211$

Step 2.3

Multiply $320000$ by $3.14383211$ .

$1006026.27585005$