Solve 8333(1+0.08/2)^2*12

$$8333 ( 1 + \frac { 0.08 } { 2 } ) ^ { 2 \cdot 12 }$$

Evaluate

$$21360.013606042952694238128272040224949581741973045248$$

Solution Steps

Expand \frac{0.08}{2} by multiplying both numerator and the denominator by 100.

$$8333\left(1+\frac{8}{200}\right)^{2\times 12}$$

Reduce the fraction \frac{8}{200} to lowest terms by extracting and canceling out 8.

$$8333\left(1+\frac{1}{25}\right)^{2\times 12}$$

Add 1 and \frac{1}{25} to get \frac{26}{25}.

$$8333\times \left(\frac{26}{25}\right)^{2\times 12}$$

Multiply 2 and 12 to get 24.

$$8333\times \left(\frac{26}{25}\right)^{24}$$

Calculate \frac{26}{25} to the power of 24 and get \frac{9106685769537214956799814036094976}{3552713678800500929355621337890625}.

$$8333\times \frac{9106685769537214956799814036094976}{3552713678800500929355621337890625}$$

Multiply 8333 and \frac{9106685769537214956799814036094976}{3552713678800500929355621337890625} to get \frac{75886012517553612235012850362779435008}{3552713678800500929355621337890625}.

$$\frac{75886012517553612235012850362779435008}{3552713678800500929355621337890625}$$

Factor

$$\frac{641 \cdot 2 ^ {24} \cdot 13 ^ {25}}{5 ^ {48}} = 21360\frac{4.83383749136425 \times 10^{31}}{3.5527136788005014 \times 10^{33}} = 21360.013606042954$$