Solve 0.09/18*6.022*10^23

$$\frac{ 0.09 }{ 18 } \times 6.022 \times { 10 }^{ 23 }$$

Evaluate

$$3011000000000000000000$$

Solution Steps

Expand \frac{0.09}{18} by multiplying both numerator and the denominator by 100.

$$\frac{9}{1800}\times 6.022\times 10^{23}$$

Reduce the fraction \frac{9}{1800} to lowest terms by extracting and canceling out 9.

$$\frac{1}{200}\times 6.022\times 10^{23}$$

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.

$$\frac{1}{200}\times \frac{3011}{500}\times 10^{23}$$

Multiply \frac{1}{200} times \frac{3011}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3011}{200\times 500}\times 10^{23}$$

Do the multiplications in the fraction \frac{1\times 3011}{200\times 500}.

$$\frac{3011}{100000}\times 10^{23}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{3011}{100000}\times 100000000000000000000000$$

Express \frac{3011}{100000}\times 100000000000000000000000 as a single fraction.

$$\frac{3011\times 100000000000000000000000}{100000}$$

Multiply 3011 and 100000000000000000000000 to get 301100000000000000000000000.

$$\frac{301100000000000000000000000}{100000}$$

Divide 301100000000000000000000000 by 100000 to get 3011000000000000000000.

$$3011000000000000000000$$

Factor

$$3011\times 2^{18}\times 5^{18}$$