Solve 1000*(1+6%)^10

$$1000 \times ( 1 + 6 \% ) ^ { 10 }$$

Evaluate

$$\frac{174887470365513049}{97656250000000}\approx 1790.847696543$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$1000\left(1+\frac{3}{50}\right)^{10}$$

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

$$1000\times \left(\frac{53}{50}\right)^{10}$$

Calculate \frac{53}{50} to the power of 10 and get \frac{174887470365513049}{97656250000000000}.

$$1000\times \frac{174887470365513049}{97656250000000000}$$

Multiply 1000 and \frac{174887470365513049}{97656250000000000} to get \frac{174887470365513049}{97656250000000}.

$$\frac{174887470365513049}{97656250000000}$$

Factor

$$\frac{53 ^ {10}}{2 ^ {7} \cdot 5 ^ {17}} = 1790\frac{82782865513056}{97656250000000} = 1790.8476965428538$$