Solve 100*(1+0.1/2)^10=

$$100 \times ( 1 + \frac { 0.1 } { 2 } ) ^ { 10 } =$$

Evaluate

$$162.889462677744140625$$

Solution Steps

Expand \frac{0.1}{2} by multiplying both numerator and the denominator by 10.

$$100\left(1+\frac{1}{20}\right)^{10}$$

Add 1 and \frac{1}{20} to get \frac{21}{20}.

$$100\times \left(\frac{21}{20}\right)^{10}$$

Calculate \frac{21}{20} to the power of 10 and get \frac{16679880978201}{10240000000000}.

$$100\times \frac{16679880978201}{10240000000000}$$

Multiply 100 and \frac{16679880978201}{10240000000000} to get \frac{16679880978201}{102400000000}.

$$\frac{16679880978201}{102400000000}$$

Factor

$$\frac{3 ^ {10} \cdot 7 ^ {10}}{2 ^ {18} \cdot 5 ^ {8}} = 162\frac{91080978201}{102400000000} = 162.88946267774415$$