Solve 3^-5*10^-5*125/5^-1*6^-5=

$$\frac { 3 ^ { - 5 } \times 10 ^ { - 5 } \times 125 } { 5 ^ { - 1 } \times 6 ^ { - 5 } } =$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Calculate 3 to the power of -5 and get \frac{1}{243}.

$$\frac{\frac{1}{243}\times 10^{-5}\times 125}{5^{-1}\times 6^{-5}}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{\frac{1}{243}\times \frac{1}{100000}\times 125}{5^{-1}\times 6^{-5}}$$

Multiply \frac{1}{243} and \frac{1}{100000} to get \frac{1}{24300000}.

$$\frac{\frac{1}{24300000}\times 125}{5^{-1}\times 6^{-5}}$$

Multiply \frac{1}{24300000} and 125 to get \frac{1}{194400}.

$$\frac{\frac{1}{194400}}{5^{-1}\times 6^{-5}}$$

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

$$\frac{\frac{1}{194400}}{\frac{1}{5}\times 6^{-5}}$$

Calculate 6 to the power of -5 and get \frac{1}{7776}.

$$\frac{\frac{1}{194400}}{\frac{1}{5}\times \frac{1}{7776}}$$

Multiply \frac{1}{5} and \frac{1}{7776} to get \frac{1}{38880}.

$$\frac{\frac{1}{194400}}{\frac{1}{38880}}$$

Divide \frac{1}{194400} by \frac{1}{38880} by multiplying \frac{1}{194400} by the reciprocal of \frac{1}{38880}.

$$\frac{1}{194400}\times 38880$$

Multiply \frac{1}{194400} and 38880 to get \frac{1}{5}.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$