Solve 11000{left(1-17/100right)}^9

$$11000 { \left(1- \frac{ 17 }{ 100 } \right) }^{ 9 }$$

Evaluate

$$\frac{2056342807942944433}{1000000000000000}\approx 2056.342807943$$

Solution Steps

Subtract \frac{17}{100} from 1 to get \frac{83}{100}.

$$11000\times \left(\frac{83}{100}\right)^{9}$$

Calculate \frac{83}{100} to the power of 9 and get \frac{186940255267540403}{1000000000000000000}.

$$11000\times \frac{186940255267540403}{1000000000000000000}$$

Multiply 11000 and \frac{186940255267540403}{1000000000000000000} to get \frac{2056342807942944433}{1000000000000000}.

$$\frac{2056342807942944433}{1000000000000000}$$

Factor

$$\frac{11 \cdot 83 ^ {9}}{2 ^ {15} \cdot 5 ^ {15}} = 2056\frac{342807942944512}{1000000000000000} = 2056.3428079429445$$