Solve 1*10^6/frac{3*10^8*6.626*10^-34{633}}

$$\frac { 1 \times 10 ^ { 6 } } { \frac { 3 \times 10 ^ { 8 } \times 6.626 \times 10 ^ { - 34 } } { 633 } }$$

Evaluate

$$\frac{10550000000000000000000000000000000000}{3313}\approx 3.184424992 \cdot 10^{33}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and -34 to get -26.

$$\frac{1\times 10^{6}}{\frac{3\times 10^{-26}\times 6.626}{633}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1\times 1000000}{\frac{3\times 10^{-26}\times 6.626}{633}}$$

Multiply 1 and 1000000 to get 1000000.

$$\frac{1000000}{\frac{3\times 10^{-26}\times 6.626}{633}}$$

Calculate 10 to the power of -26 and get \frac{1}{100000000000000000000000000}.

$$\frac{1000000}{\frac{3\times \frac{1}{100000000000000000000000000}\times 6.626}{633}}$$

Multiply 3 and \frac{1}{100000000000000000000000000} to get \frac{3}{100000000000000000000000000}.

$$\frac{1000000}{\frac{\frac{3}{100000000000000000000000000}\times 6.626}{633}}$$

Multiply \frac{3}{100000000000000000000000000} and 6.626 to get \frac{9939}{50000000000000000000000000000}.

$$\frac{1000000}{\frac{\frac{9939}{50000000000000000000000000000}}{633}}$$

Express \frac{\frac{9939}{50000000000000000000000000000}}{633} as a single fraction.

$$\frac{1000000}{\frac{9939}{50000000000000000000000000000\times 633}}$$

Multiply 50000000000000000000000000000 and 633 to get 31650000000000000000000000000000.

$$\frac{1000000}{\frac{9939}{31650000000000000000000000000000}}$$

Reduce the fraction \frac{9939}{31650000000000000000000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{1000000}{\frac{3313}{10550000000000000000000000000000}}$$

Divide 1000000 by \frac{3313}{10550000000000000000000000000000} by multiplying 1000000 by the reciprocal of \frac{3313}{10550000000000000000000000000000}.

$$1000000\times \frac{10550000000000000000000000000000}{3313}$$

Multiply 1000000 and \frac{10550000000000000000000000000000}{3313} to get \frac{10550000000000000000000000000000000000}{3313}.

$$\frac{10550000000000000000000000000000000000}{3313}$$

Factor

$$\frac{211 \cdot 2 ^ {34} \cdot 5 ^ {35}}{3313} = 3.184424992453969 \times 10^{33}\frac{785}{3313} = 3.184424992453969 \times 10^{33}$$