Solve 4000(1+.044/4)^4(5)

$$4000 ( 1 + \frac { .044 } { 4 } ) ^ { 4 ( 5 ) }$$

Evaluate

$$4978.323371133830101870227782125243658284214165724579503316804$$

Solution Steps

Expand \frac{0.044}{4} by multiplying both numerator and the denominator by 1000.

$$4000\left(1+\frac{44}{4000}\right)^{4\times 5}$$

Reduce the fraction \frac{44}{4000} to lowest terms by extracting and canceling out 4.

$$4000\left(1+\frac{11}{1000}\right)^{4\times 5}$$

Add 1 and \frac{11}{1000} to get \frac{1011}{1000}.

$$4000\times \left(\frac{1011}{1000}\right)^{4\times 5}$$

Multiply 4 and 5 to get 20.

$$4000\times \left(\frac{1011}{1000}\right)^{20}$$

Calculate \frac{1011}{1000} to the power of 20 and get \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000}.

$$4000\times \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000}$$

Multiply 4000 and \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000} to get \frac{1244580842783457525467556945531310914571053541431144875829201}{250000000000000000000000000000000000000000000000000000000}.

$$\frac{1244580842783457525467556945531310914571053541431144875829201}{250000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {20} \cdot 337 ^ {20}}{2 ^ {55} \cdot 5 ^ {57}} = 4978\frac{8.084278345755884 \times 10^{55}}{2.5 \times 10^{56}} = 4978.32337113383$$