Solve 550*(1+2%)^10

$$550 \times ( 1 + 2 \% ) ^ { 10 }$$

Evaluate

$$\frac{1309466662103743011}{1953125000000000}=670.446930997$$

Solution Steps

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

$$550\left(1+\frac{1}{50}\right)^{10}$$

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

$$550\times \left(\frac{51}{50}\right)^{10}$$

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

$$550\times \frac{119042423827613001}{97656250000000000}$$

Multiply 550 and \frac{119042423827613001}{97656250000000000} to get \frac{1309466662103743011}{1953125000000000}.

$$\frac{1309466662103743011}{1953125000000000}$$

Factor

$$\frac{3 ^ {10} \cdot 11 \cdot 17 ^ {10}}{2 ^ {9} \cdot 5 ^ {18}} = 670\frac{872912103742976}{1953125000000000} = 670.4469309971164$$