Solve 12div6.022*10^23

$$12 \div 6.022 \times { 10 }^{ 23 }$$

Evaluate

$$\frac{600000000000000000000000000}{3011}\approx 1.992693457 \cdot 10^{23}$$

Solution Steps

Expand \frac{12}{6.022} by multiplying both numerator and the denominator by 1000.

$$\frac{12000}{6022}\times 10^{23}$$

Reduce the fraction \frac{12000}{6022} to lowest terms by extracting and canceling out 2.

$$\frac{6000}{3011}\times 10^{23}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{6000}{3011}\times 100000000000000000000000$$

Express \frac{6000}{3011}\times 100000000000000000000000 as a single fraction.

$$\frac{6000\times 100000000000000000000000}{3011}$$

Multiply 6000 and 100000000000000000000000 to get 600000000000000000000000000.

$$\frac{600000000000000000000000000}{3011}$$

Factor

$$\frac{3 \cdot 2 ^ {27} \cdot 5 ^ {26}}{3011} = 1.9926934573231485 \times 10^{23}\frac{1066}{3011} = 1.9926934573231485 \times 10^{23}$$