Solve 2.2*2^23/6400*900

$$\frac{ 2.2 \times { 2 }^{ 23 } }{ 6400 \cdot 900 }$$

Evaluate

$$\frac{90112}{28125}\approx 3.203982222$$

Solution Steps

Calculate 2 to the power of 23 and get 8388608.

$$\frac{2.2\times 8388608}{6400\times 900}$$

Multiply 2.2 and 8388608 to get 18454937.6.

$$\frac{18454937.6}{6400\times 900}$$

Multiply 6400 and 900 to get 5760000.

$$\frac{18454937.6}{5760000}$$

Expand \frac{18454937.6}{5760000} by multiplying both numerator and the denominator by 10.

$$\frac{184549376}{57600000}$$

Reduce the fraction \frac{184549376}{57600000} to lowest terms by extracting and canceling out 2048.

$$\frac{90112}{28125}$$

Factor

$$\frac{11 \cdot 2 ^ {13}}{3 ^ {2} \cdot 5 ^ {5}} = 3\frac{5737}{28125} = 3.2039822222222223$$