Solve =3^-3*5^-8*7^12*11^-8

$$= 3 ^ { - 3 } \times 5 ^ { - 8 } \times 7 ^ { 12 } \times 11 ^ { - 8 }$$

Evaluate

$$\frac{13841287201}{2260816323046875}\approx 0.000006122$$

Solution Steps

Calculate 3 to the power of -3 and get \frac{1}{27}.

$$\frac{1}{27}\times 5^{-8}\times 7^{12}\times 11^{-8}$$

Calculate 5 to the power of -8 and get \frac{1}{390625}.

$$\frac{1}{27}\times \frac{1}{390625}\times 7^{12}\times 11^{-8}$$

Multiply \frac{1}{27} and \frac{1}{390625} to get \frac{1}{10546875}.

$$\frac{1}{10546875}\times 7^{12}\times 11^{-8}$$

Calculate 7 to the power of 12 and get 13841287201.

$$\frac{1}{10546875}\times 13841287201\times 11^{-8}$$

Multiply \frac{1}{10546875} and 13841287201 to get \frac{13841287201}{10546875}.

$$\frac{13841287201}{10546875}\times 11^{-8}$$

Calculate 11 to the power of -8 and get \frac{1}{214358881}.

$$\frac{13841287201}{10546875}\times \frac{1}{214358881}$$

Multiply \frac{13841287201}{10546875} and \frac{1}{214358881} to get \frac{13841287201}{2260816323046875}.

$$\frac{13841287201}{2260816323046875}$$

Factor

$$\frac{7 ^ {12}}{3 ^ {3} \cdot 5 ^ {8} \cdot 11 ^ {8}} = 6.122251975935074 \times 10^{-6}$$