Solve 6.022*10^23*6.262*10^-16/9.12*10

$$6.022 \times \frac { 10 ^ { 23 } \times 6.262 \times 10 ^ { - 16 } } { 9.12 \times 10 }$$

Evaluate

$$\frac{235686025}{57}\approx 4134842.543859649$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 23 and -16 to get 7.

$$6.022\times \frac{10^{7}\times 6.262}{9.12\times 10}$$

Cancel out 10 in both numerator and denominator.

$$6.022\times \frac{6.262\times 10^{6}}{9.12}$$

Calculate 10 to the power of 6 and get 1000000.

$$6.022\times \frac{6.262\times 1000000}{9.12}$$

Multiply 6.262 and 1000000 to get 6262000.

$$6.022\times \frac{6262000}{9.12}$$

Expand \frac{6262000}{9.12} by multiplying both numerator and the denominator by 100.

$$6.022\times \frac{626200000}{912}$$

Reduce the fraction \frac{626200000}{912} to lowest terms by extracting and canceling out 16.

$$6.022\times \frac{39137500}{57}$$

Multiply 6.022 and \frac{39137500}{57} to get \frac{235686025}{57}.

$$\frac{235686025}{57}$$

Factor

$$\frac{31 \cdot 101 \cdot 3011 \cdot 5 ^ {2}}{3 \cdot 19} = 4134842\frac{31}{57} = 4134842.543859649$$