Solve 667*64219*19891*10^42/2279410^11

$$667 \times \frac{ 64219 \cdot 19891 \times { 10 }^{ 42 } }{ 22794 { 10 }^{ 11 } }$$

Evaluate

$$\frac{146898714835000000000000000000000000000000}{393}\approx 3.737880785 \cdot 10^{38}$$

Solution Steps

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

$$667\times \frac{19891\times 64219\times 10^{31}}{22794}$$

Multiply 19891 and 64219 to get 1277380129.

$$667\times \frac{1277380129\times 10^{31}}{22794}$$

Calculate 10 to the power of 31 and get 10000000000000000000000000000000.

$$667\times \frac{1277380129\times 10000000000000000000000000000000}{22794}$$

Multiply 1277380129 and 10000000000000000000000000000000 to get 12773801290000000000000000000000000000000.

$$667\times \frac{12773801290000000000000000000000000000000}{22794}$$

Reduce the fraction \frac{12773801290000000000000000000000000000000}{22794} to lowest terms by extracting and canceling out 2.

$$667\times \frac{6386900645000000000000000000000000000000}{11397}$$

Express 667\times \frac{6386900645000000000000000000000000000000}{11397} as a single fraction.

$$\frac{667\times 6386900645000000000000000000000000000000}{11397}$$

Multiply 667 and 6386900645000000000000000000000000000000 to get 4260062730215000000000000000000000000000000.

$$\frac{4260062730215000000000000000000000000000000}{11397}$$

Reduce the fraction \frac{4260062730215000000000000000000000000000000}{11397} to lowest terms by extracting and canceling out 29.

$$\frac{146898714835000000000000000000000000000000}{393}$$

Factor

$$\frac{2 ^ {30} \cdot 5 ^ {31} \cdot 23 \cdot 149 \cdot 431 \cdot 19891}{3 \cdot 131} = 3.7378807846055984 \times 10^{38}\frac{123}{393} = 3.7378807846055984 \times 10^{38}$$