Solve =1500*(1+2.625/100)^8

$$= 1500 \cdot ( 1 + \frac { 2.625 } { 100 } ) ^ { 8 }$$

Evaluate

$$1845.51092335536673523570001125335693359375$$

Solution Steps

Expand \frac{2.625}{100} by multiplying both numerator and the denominator by 1000.

$$1500\left(1+\frac{2625}{100000}\right)^{8}$$

Reduce the fraction \frac{2625}{100000} to lowest terms by extracting and canceling out 125.

$$1500\left(1+\frac{21}{800}\right)^{8}$$

Add 1 and \frac{21}{800} to get \frac{821}{800}.

$$1500\times \left(\frac{821}{800}\right)^{8}$$

Calculate \frac{821}{800} to the power of 8 and get \frac{206416902609949549841761}{167772160000000000000000}.

$$1500\times \frac{206416902609949549841761}{167772160000000000000000}$$

Multiply 1500 and \frac{206416902609949549841761}{167772160000000000000000} to get \frac{619250707829848649525283}{335544320000000000000}.

$$\frac{619250707829848649525283}{335544320000000000000}$$

Factor

$$\frac{3 \cdot 821 ^ {8}}{2 ^ {38} \cdot 5 ^ {13}} = 1845\frac{1.7143742984853705 \times 10^{20}}{3.3554432 \times 10^{20}} = 1845.5109233553665$$