Solve 25000(1+25/100)^6

$$25000 ( 1 + \frac { 25 } { 100 } ) ^ { 6 }$$

Evaluate

$$\frac{48828125}{512}=95367.431640625$$

Solution Steps

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$25000\left(1+\frac{1}{4}\right)^{6}$$

Add 1 and \frac{1}{4} to get \frac{5}{4}.

$$25000\times \left(\frac{5}{4}\right)^{6}$$

Calculate \frac{5}{4} to the power of 6 and get \frac{15625}{4096}.

$$25000\times \frac{15625}{4096}$$

Multiply 25000 and \frac{15625}{4096} to get \frac{48828125}{512}.

$$\frac{48828125}{512}$$

Factor

$$\frac{5 ^ {11}}{2 ^ {9}} = 95367\frac{221}{512} = 95367.431640625$$