Solve 1.83.5^6/20510^6199065910^-12

$$\frac{ 1.8 { 3.5 }^{ 6 } }{ 205 { 10 }^{ 6 } 1990659 { 10 }^{ -12 } }$$

Evaluate

$$\frac{220591875}{27205673}\approx 8.108304286$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and -12 to get -6.

$$\frac{1.8\times 3.5^{6}}{205\times 10^{-6}\times 1990659}$$

Calculate 3.5 to the power of 6 and get 1838.265625.

$$\frac{1.8\times 1838.265625}{205\times 10^{-6}\times 1990659}$$

Multiply 1.8 and 1838.265625 to get 3308.878125.

$$\frac{3308.878125}{205\times 10^{-6}\times 1990659}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{3308.878125}{205\times \frac{1}{1000000}\times 1990659}$$

Multiply 205 and \frac{1}{1000000} to get \frac{41}{200000}.

$$\frac{3308.878125}{\frac{41}{200000}\times 1990659}$$

Multiply \frac{41}{200000} and 1990659 to get \frac{81617019}{200000}.

$$\frac{3308.878125}{\frac{81617019}{200000}}$$

Divide 3308.878125 by \frac{81617019}{200000} by multiplying 3308.878125 by the reciprocal of \frac{81617019}{200000}.

$$3308.878125\times \frac{200000}{81617019}$$

Multiply 3308.878125 and \frac{200000}{81617019} to get \frac{220591875}{27205673}.

$$\frac{220591875}{27205673}$$

Factor

$$\frac{3 \cdot 5 ^ {4} \cdot 7 ^ {6}}{11 \cdot 41 \cdot 179 \cdot 337} = 8\frac{2946491}{27205673} = 8.108304286389092$$