Solve 2*(1+2%)^10*1.7%

$$2 \times ( 1 + 2 \% ) ^ { 10 } \times 1.7 \%$$

Evaluate

$$0.04144581027982174242816$$

Solution Steps

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

$$2\left(1+\frac{1}{50}\right)^{10}\times \frac{1.7}{100}$$

Add 1 and \frac{1}{50} to get \frac{51}{50}.

$$2\times \left(\frac{51}{50}\right)^{10}\times \frac{1.7}{100}$$

Calculate \frac{51}{50} to the power of 10 and get \frac{119042423827613001}{97656250000000000}.

$$2\times \frac{119042423827613001}{97656250000000000}\times \frac{1.7}{100}$$

Multiply 2 and \frac{119042423827613001}{97656250000000000} to get \frac{119042423827613001}{48828125000000000}.

$$\frac{119042423827613001}{48828125000000000}\times \frac{1.7}{100}$$

Expand \frac{1.7}{100} by multiplying both numerator and the denominator by 10.

$$\frac{119042423827613001}{48828125000000000}\times \frac{17}{1000}$$

Multiply \frac{119042423827613001}{48828125000000000} and \frac{17}{1000} to get \frac{2023721205069421017}{48828125000000000000}.

$$\frac{2023721205069421017}{48828125000000000000}$$

Factor

$$\frac{3 ^ {10} \cdot 17 ^ {11}}{2 ^ {12} \cdot 5 ^ {23}} = 0.04144581027982175$$