Solve 777*(1+0.01/4)^3

$$777 * ( 1 + \frac { 0.01 } { 4 } ) ^ { 3 }$$

Evaluate

$$782.842080890625$$

Solution Steps

Expand \frac{0.01}{4} by multiplying both numerator and the denominator by 100.

$$777\left(1+\frac{1}{400}\right)^{3}$$

Add 1 and \frac{1}{400} to get \frac{401}{400}.

$$777\times \left(\frac{401}{400}\right)^{3}$$

Calculate \frac{401}{400} to the power of 3 and get \frac{64481201}{64000000}.

$$777\times \frac{64481201}{64000000}$$

Multiply 777 and \frac{64481201}{64000000} to get \frac{50101893177}{64000000}.

$$\frac{50101893177}{64000000}$$

Factor

$$\frac{3 \cdot 7 \cdot 37 \cdot 401 ^ {3}}{2 ^ {12} \cdot 5 ^ {6}} = 782\frac{53893177}{64000000} = 782.842080890625$$