Solve {left(445/96*729right)}^2

$${ \left(4 \frac{ 45 }{ 96 \times 729 } \right) }^{ 2 }$$

Evaluate

$$\frac{25}{3779136}\approx 0.000006615$$

Solution Steps

Multiply 96 and 729 to get 69984.

$$\left(4\times \frac{45}{69984}\right)^{2}$$

Reduce the fraction \frac{45}{69984} to lowest terms by extracting and canceling out 9.

$$\left(4\times \frac{5}{7776}\right)^{2}$$

Multiply 4 and \frac{5}{7776} to get \frac{5}{1944}.

$$\left(\frac{5}{1944}\right)^{2}$$

Calculate \frac{5}{1944} to the power of 2 and get \frac{25}{3779136}.

$$\frac{25}{3779136}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {6} \cdot 3 ^ {10}} = 6.615268675168081 \times 10^{-6}$$