Solve (2^56/768000000000)div60div60

$$( \frac{ { 2 }^{ 56 } }{ 768000000000 } ) \div 60 \div 60$$

Evaluate

$$\frac{34359738368}{1318359375}\approx 26.062497844$$

Solution Steps

Express \frac{\frac{\frac{2^{56}}{768000000000}}{60}}{60} as a single fraction.

$$\frac{\frac{2^{56}}{768000000000}}{60\times 60}$$

Calculate 2 to the power of 56 and get 72057594037927936.

$$\frac{\frac{72057594037927936}{768000000000}}{60\times 60}$$

Reduce the fraction \frac{72057594037927936}{768000000000} to lowest terms by extracting and canceling out 131072.

$$\frac{\frac{549755813888}{5859375}}{60\times 60}$$

Multiply 60 and 60 to get 3600.

$$\frac{\frac{549755813888}{5859375}}{3600}$$

Express \frac{\frac{549755813888}{5859375}}{3600} as a single fraction.

$$\frac{549755813888}{5859375\times 3600}$$

Multiply 5859375 and 3600 to get 21093750000.

$$\frac{549755813888}{21093750000}$$

Reduce the fraction \frac{549755813888}{21093750000} to lowest terms by extracting and canceling out 16.

$$\frac{34359738368}{1318359375}$$

Factor

$$\frac{2 ^ {35}}{3 ^ {3} \cdot 5 ^ {11}} = 26\frac{82394618}{1318359375} = 26.06249784357926$$