Solve 1200*{left(1+6.25/100right)}^2

$$1200 \times { \left(1+ \frac{ 6.25 }{ 100 } \right) }^{ 2 }$$

Evaluate

$$1354.6875$$

Solution Steps

Expand \frac{6.25}{100} by multiplying both numerator and the denominator by 100.

$$1200\left(1+\frac{625}{10000}\right)^{2}$$

Reduce the fraction \frac{625}{10000} to lowest terms by extracting and canceling out 625.

$$1200\left(1+\frac{1}{16}\right)^{2}$$

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

$$1200\times \left(\frac{17}{16}\right)^{2}$$

Calculate \frac{17}{16} to the power of 2 and get \frac{289}{256}.

$$1200\times \frac{289}{256}$$

Multiply 1200 and \frac{289}{256} to get \frac{21675}{16}.

$$\frac{21675}{16}$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 17 ^ {2}}{2 ^ {4}} = 1354\frac{11}{16} = 1354.6875$$