Solve 8500{left(1+0.12/2right)}^6

$$8500 { \left(1+ \frac{ 0.12 }{ 2 } \right) }^{ 6 }$$

Evaluate

$$12057.412454176$$

Solution Steps

Expand \frac{0.12}{2} by multiplying both numerator and the denominator by 100.

$$8500\left(1+\frac{12}{200}\right)^{6}$$

Reduce the fraction \frac{12}{200} to lowest terms by extracting and canceling out 4.

$$8500\left(1+\frac{3}{50}\right)^{6}$$

Add 1 and \frac{3}{50} to get \frac{53}{50}.

$$8500\times \left(\frac{53}{50}\right)^{6}$$

Calculate \frac{53}{50} to the power of 6 and get \frac{22164361129}{15625000000}.

$$8500\times \frac{22164361129}{15625000000}$$

Multiply 8500 and \frac{22164361129}{15625000000} to get \frac{376794139193}{31250000}.

$$\frac{376794139193}{31250000}$$

Factor

$$\frac{17 \cdot 53 ^ {6}}{2 ^ {4} \cdot 5 ^ {9}} = 12057\frac{12889193}{31250000} = 12057.412454176$$