Solve 10^815/2%

$$10 ^ { 81 } \frac { 5 } { 2 } \%$$

Evaluate

$$25000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Solution Steps

Calculate 10 to the power of 81 and get 1000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{\frac{5}{2}}{100}$$

Express \frac{\frac{5}{2}}{100} as a single fraction.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{5}{2\times 100}$$

Multiply 2 and 100 to get 200.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{5}{200}$$

Reduce the fraction \frac{5}{200} to lowest terms by extracting and canceling out 5.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{1}{40}$$

Multiply 1000000000000000000000000000000000000000000000000000000000000000000000000000000000 and \frac{1}{40} to get \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000}{40}.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000}{40}$$

Divide 1000000000000000000000000000000000000000000000000000000000000000000000000000000000 by 40 to get 25000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$25000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Factor

$$2^{78}\times 5^{80}$$