Solve (3-1/7)^-2/(sqrt{10^4})

$$\frac { ( 3 - \frac { 1 } { 7 } ) ^ { - 2 } } { ( \sqrt { 10 ^ { 4 } } } )$$

Evaluate

$$\frac{49}{40000}=0.001225$$

Solution Steps

Subtract \frac{1}{7} from 3 to get \frac{20}{7}.

$$\frac{\left(\frac{20}{7}\right)^{-2}}{\sqrt{10^{4}}}$$

Calculate \frac{20}{7} to the power of -2 and get \frac{49}{400}.

$$\frac{\frac{49}{400}}{\sqrt{10^{4}}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{\frac{49}{400}}{\sqrt{10000}}$$

Calculate the square root of 10000 and get 100.

$$\frac{\frac{49}{400}}{100}$$

Express \frac{\frac{49}{400}}{100} as a single fraction.

$$\frac{49}{400\times 100}$$

Multiply 400 and 100 to get 40000.

$$\frac{49}{40000}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {6} \cdot 5 ^ {4}} = 0.001225$$