Solve 6.67*64219*19891*10^42/2.2794*10^11

$$6.67 \times \frac { 64219 \times 19891 \times 10 ^ { 42 } } { 2.2794 \times 10 ^ { 11 } }$$

Evaluate

$$\frac{14689871483500000000000000000000000000000000}{393}\approx 3.737880785 \cdot 10^{40}$$

Solution Steps

Cancel out 10^{11} in both numerator and denominator.

$$6.67\times \frac{19891\times 64219\times 10^{31}}{2.2794}$$

Multiply 19891 and 64219 to get 1277380129.

$$6.67\times \frac{1277380129\times 10^{31}}{2.2794}$$

Calculate 10 to the power of 31 and get 10000000000000000000000000000000.

$$6.67\times \frac{1277380129\times 10000000000000000000000000000000}{2.2794}$$

Multiply 1277380129 and 10000000000000000000000000000000 to get 12773801290000000000000000000000000000000.

$$6.67\times \frac{12773801290000000000000000000000000000000}{2.2794}$$

Expand \frac{12773801290000000000000000000000000000000}{2.2794} by multiplying both numerator and the denominator by 10000.

$$6.67\times \frac{127738012900000000000000000000000000000000000}{22794}$$

Reduce the fraction \frac{127738012900000000000000000000000000000000000}{22794} to lowest terms by extracting and canceling out 2.

$$6.67\times \frac{63869006450000000000000000000000000000000000}{11397}$$

Convert decimal number 6.67 to fraction \frac{667}{100}.

$$\frac{667}{100}\times \frac{63869006450000000000000000000000000000000000}{11397}$$

Multiply \frac{667}{100} times \frac{63869006450000000000000000000000000000000000}{11397} by multiplying numerator times numerator and denominator times denominator.

$$\frac{667\times 63869006450000000000000000000000000000000000}{100\times 11397}$$

Do the multiplications in the fraction \frac{667\times 63869006450000000000000000000000000000000000}{100\times 11397}.

$$\frac{42600627302150000000000000000000000000000000000}{1139700}$$

Reduce the fraction \frac{42600627302150000000000000000000000000000000000}{1139700} to lowest terms by extracting and canceling out 2900.

$$\frac{14689871483500000000000000000000000000000000}{393}$$

Factor

$$\frac{23 \cdot 149 \cdot 431 \cdot 19891 \cdot 2 ^ {32} \cdot 5 ^ {33}}{3 \cdot 131} = 3.7378807846055975 \times 10^{40}\frac{255}{393} = 3.7378807846055975 \times 10^{40}$$