Solve 1/16*6.022*10^23

$$\frac { 1 } { 16 } \times 6.022 \times 10 ^ { 23 }$$

Evaluate

$$37637500000000000000000$$

Solution Steps

Convert decimal number 6.022 to fraction \frac{6022}{1000}. Reduce the fraction \frac{6022}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{16}\times \frac{3011}{500}\times 10^{23}$$

Multiply \frac{1}{16} times \frac{3011}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3011}{16\times 500}\times 10^{23}$$

Do the multiplications in the fraction \frac{1\times 3011}{16\times 500}.

$$\frac{3011}{8000}\times 10^{23}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{3011}{8000}\times 100000000000000000000000$$

Express \frac{3011}{8000}\times 100000000000000000000000 as a single fraction.

$$\frac{3011\times 100000000000000000000000}{8000}$$

Multiply 3011 and 100000000000000000000000 to get 301100000000000000000000000.

$$\frac{301100000000000000000000000}{8000}$$

Divide 301100000000000000000000000 by 8000 to get 37637500000000000000000.

$$37637500000000000000000$$

Factor

$$3011\times 2^{17}\times 5^{20}$$