Solve 1000{left(1+1/20*1/10right)}^10

$$1000 { \left(1+ \frac{ 1 }{ 20 } \times \frac{ 1 }{ 10 } \right) }^{ 10 }$$

Evaluate

$$\frac{107636749520976961802001}{102400000000000000000}\approx 1051.140132041$$

Solution Steps

Multiply \frac{1}{20} and \frac{1}{10} to get \frac{1}{200}.

$$1000\left(1+\frac{1}{200}\right)^{10}$$

Add 1 and \frac{1}{200} to get \frac{201}{200}.

$$1000\times \left(\frac{201}{200}\right)^{10}$$

Calculate \frac{201}{200} to the power of 10 and get \frac{107636749520976961802001}{102400000000000000000000}.

$$1000\times \frac{107636749520976961802001}{102400000000000000000000}$$

Multiply 1000 and \frac{107636749520976961802001}{102400000000000000000000} to get \frac{107636749520976961802001}{102400000000000000000}.

$$\frac{107636749520976961802001}{102400000000000000000}$$

Factor

$$\frac{3 ^ {10} \cdot 67 ^ {10}}{2 ^ {27} \cdot 5 ^ {17}} = 1051\frac{1.4349520976964747 \times 10^{19}}{1.024 \times 10^{20}} = 1051.1401320407906$$