Solve {left(1+3.5/100right)}^8

$${ \left(1+ \frac{ 3.5 }{ 100 } \right) }^{ 8 }$$

Evaluate

$$1.316809036963403750390625$$

Solution Steps

Expand \frac{3.5}{100} by multiplying both numerator and the denominator by 10.

$$\left(1+\frac{35}{1000}\right)^{8}$$

Reduce the fraction \frac{35}{1000} to lowest terms by extracting and canceling out 5.

$$\left(1+\frac{7}{200}\right)^{8}$$

Add 1 and \frac{7}{200} to get \frac{207}{200}.

$$\left(\frac{207}{200}\right)^{8}$$

Calculate \frac{207}{200} to the power of 8 and get \frac{3371031134626313601}{2560000000000000000}.

$$\frac{3371031134626313601}{2560000000000000000}$$

Factor

$$\frac{3 ^ {16} \cdot 23 ^ {8}}{2 ^ {24} \cdot 5 ^ {16}} = 1\frac{8.110311346263137 \times 10^{17}}{2.56 \times 10^{18}} = 1.3168090369634038$$