Solve 1730(1+0.108/2)^10

$$1730 ( 1 + \frac { 0.108 } { 2 } ) ^ { 10 }$$

Evaluate

$$2927.19875587742739227148676379648$$

Solution Steps

Expand \frac{0.108}{2} by multiplying both numerator and the denominator by 1000.

$$1730\left(1+\frac{108}{2000}\right)^{10}$$

Reduce the fraction \frac{108}{2000} to lowest terms by extracting and canceling out 4.

$$1730\left(1+\frac{27}{500}\right)^{10}$$

Add 1 and \frac{27}{500} to get \frac{527}{500}.

$$1730\times \left(\frac{527}{500}\right)^{10}$$

Calculate \frac{527}{500} to the power of 10 and get \frac{1652365627188757333968279649}{976562500000000000000000000}.

$$1730\times \frac{1652365627188757333968279649}{976562500000000000000000000}$$

Multiply 1730 and \frac{1652365627188757333968279649}{976562500000000000000000000} to get \frac{285859253503655018776512379277}{97656250000000000000000000}.

$$\frac{285859253503655018776512379277}{97656250000000000000000000}$$

Factor

$$\frac{173 \cdot 17 ^ {10} \cdot 31 ^ {10}}{2 ^ {19} \cdot 5 ^ {29}} = 2927\frac{1.9409753655055564 \times 10^{25}}{9.765624999999998 \times 10^{25}} = 2927.1987558774276$$