Solve 40960(1+12.5/200)^3

$$40960 ( 1 + \frac { 12.5 } { 200 } ) ^ { 3 }$$

Evaluate

$$49130$$

Solution Steps

Expand \frac{12.5}{200} by multiplying both numerator and the denominator by 10.

$$40960\left(1+\frac{125}{2000}\right)^{3}$$

Reduce the fraction \frac{125}{2000} to lowest terms by extracting and canceling out 125.

$$40960\left(1+\frac{1}{16}\right)^{3}$$

Add 1 and \frac{1}{16} to get \frac{17}{16}.

$$40960\times \left(\frac{17}{16}\right)^{3}$$

Calculate \frac{17}{16} to the power of 3 and get \frac{4913}{4096}.

$$40960\times \frac{4913}{4096}$$

Multiply 40960 and \frac{4913}{4096} to get 49130.

$$49130$$

Factor

$$2\times 5\times 17^{3}$$