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

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

Evaluate

$$\frac{337652643}{10000}=33765.2643$$

Solution Steps

Multiply 4 and 100 to get 400.

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

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

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

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

$$2500\times \left(\frac{103}{100}\right)^{4}\times 12$$

Calculate \frac{103}{100} to the power of 4 and get \frac{112550881}{100000000}.

$$2500\times \frac{112550881}{100000000}\times 12$$

Multiply 2500 and \frac{112550881}{100000000} to get \frac{112550881}{40000}.

$$\frac{112550881}{40000}\times 12$$

Multiply \frac{112550881}{40000} and 12 to get \frac{337652643}{10000}.

$$\frac{337652643}{10000}$$

Factor

$$\frac{3 \cdot 103 ^ {4}}{2 ^ {4} \cdot 5 ^ {4}} = 33765\frac{2643}{10000} = 33765.2643$$