Solve 1024^2*12div120div60div60

$${ 1024 }^{ 2 } \times 12 \div 120 \div 60 \div 60$$

Evaluate

$$\frac{32768}{1125}\approx 29.127111111$$

Solution Steps

Express \frac{\frac{\frac{1024^{2}\times 12}{120}}{60}}{60} as a single fraction.

$$\frac{\frac{1024^{2}\times 12}{120}}{60\times 60}$$

Calculate 1024 to the power of 2 and get 1048576.

$$\frac{\frac{1048576\times 12}{120}}{60\times 60}$$

Multiply 1048576 and 12 to get 12582912.

$$\frac{\frac{12582912}{120}}{60\times 60}$$

Reduce the fraction \frac{12582912}{120} to lowest terms by extracting and canceling out 24.

$$\frac{\frac{524288}{5}}{60\times 60}$$

Multiply 60 and 60 to get 3600.

$$\frac{\frac{524288}{5}}{3600}$$

Express \frac{\frac{524288}{5}}{3600} as a single fraction.

$$\frac{524288}{5\times 3600}$$

Multiply 5 and 3600 to get 18000.

$$\frac{524288}{18000}$$

Reduce the fraction \frac{524288}{18000} to lowest terms by extracting and canceling out 16.

$$\frac{32768}{1125}$$

Factor

$$\frac{2 ^ {15}}{3 ^ {2} \cdot 5 ^ {3}} = 29\frac{143}{1125} = 29.127111111111113$$