Solve 2500*{left(1+12/4*100right)}^4*3

$$2500 \times { \left(1+ \frac{ 12 }{ 4 \times 100 } \right) }^{ 4 \times 3 }$$

Evaluate

$$\frac{1425760886846178945447841}{400000000000000000000}\approx 3564.402217115$$

Solution Steps

Multiply 4 and 100 to get 400.

$$2500\left(1+\frac{12}{400}\right)^{4\times 3}$$

Reduce the fraction \frac{12}{400} to lowest terms by extracting and canceling out 4.

$$2500\left(1+\frac{3}{100}\right)^{4\times 3}$$

Add 1 and \frac{3}{100} to get \frac{103}{100}.

$$2500\times \left(\frac{103}{100}\right)^{4\times 3}$$

Multiply 4 and 3 to get 12.

$$2500\times \left(\frac{103}{100}\right)^{12}$$

Calculate \frac{103}{100} to the power of 12 and get \frac{1425760886846178945447841}{1000000000000000000000000}.

$$2500\times \frac{1425760886846178945447841}{1000000000000000000000000}$$

Multiply 2500 and \frac{1425760886846178945447841}{1000000000000000000000000} to get \frac{1425760886846178945447841}{400000000000000000000}.

$$\frac{1425760886846178945447841}{400000000000000000000}$$

Factor

$$\frac{103 ^ {12}}{2 ^ {22} \cdot 5 ^ {20}} = 3564\frac{1.6088684617887907 \times 10^{20}}{4 \times 10^{20}} = 3564.402217115447$$