Solve 6.02210^23div27*3

$$6.022 { 10 }^{ 23 } \div 27 \times 3$$

Evaluate

$$\frac{602200000000000000000000}{9}\approx 6.691111111 \cdot 10^{22}$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{6.022\times 100000000000000000000000}{27}\times 3$$

Multiply 6.022 and 100000000000000000000000 to get 602200000000000000000000.

$$\frac{602200000000000000000000}{27}\times 3$$

Express \frac{602200000000000000000000}{27}\times 3 as a single fraction.

$$\frac{602200000000000000000000\times 3}{27}$$

Multiply 602200000000000000000000 and 3 to get 1806600000000000000000000.

$$\frac{1806600000000000000000000}{27}$$

Reduce the fraction \frac{1806600000000000000000000}{27} to lowest terms by extracting and canceling out 3.

$$\frac{602200000000000000000000}{9}$$

Factor

$$\frac{3011 \cdot 2 ^ {21} \cdot 5 ^ {20}}{3 ^ {2}} = 6.691111111111111 \times 10^{22}\frac{6}{9} = 6.691111111111111 \times 10^{22}$$