Solve 39.18*{left(117.54/117right)}^2

$$39.18 \times { \left( \frac{ 117.54 }{ 117 } \right) }^{ 2 }$$

Evaluate

$$\frac{835335231}{21125000}\approx 39.542496142$$

Solution Steps

Expand \frac{117.54}{117} by multiplying both numerator and the denominator by 100.

$$39.18\times \left(\frac{11754}{11700}\right)^{2}$$

Reduce the fraction \frac{11754}{11700} to lowest terms by extracting and canceling out 18.

$$39.18\times \left(\frac{653}{650}\right)^{2}$$

Calculate \frac{653}{650} to the power of 2 and get \frac{426409}{422500}.

$$39.18\times \frac{426409}{422500}$$

Multiply 39.18 and \frac{426409}{422500} to get \frac{835335231}{21125000}.

$$\frac{835335231}{21125000}$$

Factor

$$\frac{3 \cdot 653 ^ {3}}{2 ^ {3} \cdot 5 ^ {6} \cdot 13 ^ {2}} = 39\frac{11460231}{21125000} = 39.542496142011835$$