Solve 80000(1+0.1/4)^3*4

$$80000 ( 1 + \frac { 0.1 } { 4 } ) ^ { 3 \times 4 }$$

Evaluate

$$107591.10593970387497425079345703125$$

Solution Steps

Expand \frac{0.1}{4} by multiplying both numerator and the denominator by 10.

$$80000\left(1+\frac{1}{40}\right)^{3\times 4}$$

Add 1 and \frac{1}{40} to get \frac{41}{40}.

$$80000\times \left(\frac{41}{40}\right)^{3\times 4}$$

Multiply 3 and 4 to get 12.

$$80000\times \left(\frac{41}{40}\right)^{12}$$

Calculate \frac{41}{40} to the power of 12 and get \frac{22563490300366186081}{16777216000000000000}.

$$80000\times \frac{22563490300366186081}{16777216000000000000}$$

Multiply 80000 and \frac{22563490300366186081}{16777216000000000000} to get \frac{22563490300366186081}{209715200000000}.

$$\frac{22563490300366186081}{209715200000000}$$

Factor

$$\frac{41 ^ {12}}{2 ^ {29} \cdot 5 ^ {8}} = 107591\frac{22217166184448}{209715200000000} = 107591.10593970386$$