Solve (3.71-3.26)*1024^2/80*60*60

$$\frac{ (3.71-3.26) \times { 1024 }^{ 2 } }{ 80 \times 60 \times 60 }$$

Evaluate

$$1.6384$$

Solution Steps

Subtract 3.26 from 3.71 to get 0.45.

$$\frac{0.45\times 1024^{2}}{80\times 60\times 60}$$

Calculate 1024 to the power of 2 and get 1048576.

$$\frac{0.45\times 1048576}{80\times 60\times 60}$$

Multiply 0.45 and 1048576 to get 471859.2.

$$\frac{471859.2}{80\times 60\times 60}$$

Multiply 80 and 60 to get 4800.

$$\frac{471859.2}{4800\times 60}$$

Multiply 4800 and 60 to get 288000.

$$\frac{471859.2}{288000}$$

Expand \frac{471859.2}{288000} by multiplying both numerator and the denominator by 10.

$$\frac{4718592}{2880000}$$

Reduce the fraction \frac{4718592}{2880000} to lowest terms by extracting and canceling out 4608.

$$\frac{1024}{625}$$

Factor

$$\frac{2 ^ {10}}{5 ^ {4}} = 1\frac{399}{625} = 1.6384$$