Solve 30^30div10div60div60

$${ 30 }^{ 30 } \div 10 \div 60 \div 60$$

Evaluate

$$5719198113740250000000000000000000000000$$

Solution Steps

Express \frac{\frac{\frac{30^{30}}{10}}{60}}{60} as a single fraction.

$$\frac{\frac{30^{30}}{10}}{60\times 60}$$

Calculate 30 to the power of 30 and get 205891132094649000000000000000000000000000000.

$$\frac{\frac{205891132094649000000000000000000000000000000}{10}}{60\times 60}$$

Divide 205891132094649000000000000000000000000000000 by 10 to get 20589113209464900000000000000000000000000000.

$$\frac{20589113209464900000000000000000000000000000}{60\times 60}$$

Multiply 60 and 60 to get 3600.

$$\frac{20589113209464900000000000000000000000000000}{3600}$$

Divide 20589113209464900000000000000000000000000000 by 3600 to get 5719198113740250000000000000000000000000.

$$5719198113740250000000000000000000000000$$

Factor

$$2^{25}\times 3^{28}\times 5^{27}$$