Solve 6.67*6.4219*1.9891*10^42/2.279410^11

$$6.67 \times \frac{ 6.4219 \cdot 1.9891 \times { 10 }^{ 42 } }{ 2.2794 { 10 }^{ 11 } }$$

Evaluate

$$\frac{146898714835000000000000000000000000}{393}\approx 3.737880785 \cdot 10^{32}$$

Solution Steps

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

$$6.67\times \frac{1.9891\times 6.4219\times 10^{31}}{2.2794}$$

Multiply 1.9891 and 6.4219 to get 12.77380129.

$$6.67\times \frac{12.77380129\times 10^{31}}{2.2794}$$

Calculate 10 to the power of 31 and get 10000000000000000000000000000000.

$$6.67\times \frac{12.77380129\times 10000000000000000000000000000000}{2.2794}$$

Multiply 12.77380129 and 10000000000000000000000000000000 to get 127738012900000000000000000000000.

$$6.67\times \frac{127738012900000000000000000000000}{2.2794}$$

Expand \frac{127738012900000000000000000000000}{2.2794} by multiplying both numerator and the denominator by 10000.

$$6.67\times \frac{1277380129000000000000000000000000000}{22794}$$

Reduce the fraction \frac{1277380129000000000000000000000000000}{22794} to lowest terms by extracting and canceling out 2.

$$6.67\times \frac{638690064500000000000000000000000000}{11397}$$

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

$$\frac{667}{100}\times \frac{638690064500000000000000000000000000}{11397}$$

Multiply \frac{667}{100} times \frac{638690064500000000000000000000000000}{11397} by multiplying numerator times numerator and denominator times denominator.

$$\frac{667\times 638690064500000000000000000000000000}{100\times 11397}$$

Do the multiplications in the fraction \frac{667\times 638690064500000000000000000000000000}{100\times 11397}.

$$\frac{426006273021500000000000000000000000000}{1139700}$$

Reduce the fraction \frac{426006273021500000000000000000000000000}{1139700} to lowest terms by extracting and canceling out 2900.

$$\frac{146898714835000000000000000000000000}{393}$$

Factor

$$\frac{23 \cdot 149 \cdot 431 \cdot 19891 \cdot 2 ^ {24} \cdot 5 ^ {25}}{3 \cdot 131} = 3.7378807846055984 \times 10^{32}\frac{185}{393} = 3.7378807846055984 \times 10^{32}$$