Solve 200000(1+1.25/100)^8

$$200000 ( 1 + \frac { 1.25 } { 100 } ) ^ { 8 }$$

Evaluate

$$220897.22023628246784210205078125$$

Solution Steps

Expand \frac{1.25}{100} by multiplying both numerator and the denominator by 100.

$$200000\left(1+\frac{125}{10000}\right)^{8}$$

Reduce the fraction \frac{125}{10000} to lowest terms by extracting and canceling out 125.

$$200000\left(1+\frac{1}{80}\right)^{8}$$

Add 1 and \frac{1}{80} to get \frac{81}{80}.

$$200000\times \left(\frac{81}{80}\right)^{8}$$

Calculate \frac{81}{80} to the power of 8 and get \frac{1853020188851841}{1677721600000000}.

$$200000\times \frac{1853020188851841}{1677721600000000}$$

Multiply 200000 and \frac{1853020188851841}{1677721600000000} to get \frac{1853020188851841}{8388608000}.

$$\frac{1853020188851841}{8388608000}$$

Factor

$$\frac{3 ^ {32}}{2 ^ {26} \cdot 5 ^ {3}} = 220897\frac{1847475841}{8388608000} = 220897.22023628248$$