Solve 2,500(1+4/11)^2*5

$$2,500 ( 1 + \frac { 4 } { 11 } ) ^ { 2 \cdot 5 }$$

Evaluate

$$\frac{1441625976562500}{25937424601}\approx 55580.922113097$$

Solution Steps

Add 1 and \frac{4}{11} to get \frac{15}{11}.

$$2500\times \left(\frac{15}{11}\right)^{2\times 5}$$

Multiply 2 and 5 to get 10.

$$2500\times \left(\frac{15}{11}\right)^{10}$$

Calculate \frac{15}{11} to the power of 10 and get \frac{576650390625}{25937424601}.

$$2500\times \frac{576650390625}{25937424601}$$

Multiply 2500 and \frac{576650390625}{25937424601} to get \frac{1441625976562500}{25937424601}.

$$\frac{1441625976562500}{25937424601}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {10} \cdot 5 ^ {14}}{11 ^ {10}} = 55580\frac{23917238920}{25937424601} = 55580.92211309673$$