Solve 6.022*10^23*2.7/26*9

$$\frac{ 6.022 \times { 10 }^{ 23 } \times 2.7 }{ 26 \cdot 9 }$$

Evaluate

$$\frac{90330000000000000000000}{13}\approx 6.948461538 \cdot 10^{21}$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{6.022\times 100000000000000000000000\times 2.7}{26\times 9}$$

Multiply 6.022 and 100000000000000000000000 to get 602200000000000000000000.

$$\frac{602200000000000000000000\times 2.7}{26\times 9}$$

Multiply 602200000000000000000000 and 2.7 to get 1625940000000000000000000.

$$\frac{1625940000000000000000000}{26\times 9}$$

Multiply 26 and 9 to get 234.

$$\frac{1625940000000000000000000}{234}$$

Reduce the fraction \frac{1625940000000000000000000}{234} to lowest terms by extracting and canceling out 18.

$$\frac{90330000000000000000000}{13}$$

Factor

$$\frac{3 \cdot 3011 \cdot 2 ^ {19} \cdot 5 ^ {19}}{13} = 6.9484615384615385 \times 10^{21}\frac{3}{13} = 6.9484615384615385 \times 10^{21}$$