Solve 6.02*10^22/frac{50{1000}}

$$\frac { 6.02 \times 10 ^ { 22 } } { \frac { 50 } { 1000 } }$$

Evaluate

$$1204000000000000000000000$$

Solution Steps

Calculate 10 to the power of 22 and get 10000000000000000000000.

$$\frac{6.02\times 10000000000000000000000}{\frac{50}{1000}}$$

Multiply 6.02 and 10000000000000000000000 to get 60200000000000000000000.

$$\frac{60200000000000000000000}{\frac{50}{1000}}$$

Reduce the fraction \frac{50}{1000} to lowest terms by extracting and canceling out 50.

$$\frac{60200000000000000000000}{\frac{1}{20}}$$

Divide 60200000000000000000000 by \frac{1}{20} by multiplying 60200000000000000000000 by the reciprocal of \frac{1}{20}.

$$60200000000000000000000\times 20$$

Multiply 60200000000000000000000 and 20 to get 1204000000000000000000000.

$$1204000000000000000000000$$

Factor

$$7\times 43\times 2^{23}\times 5^{21}$$