Solve 2*(3/5)^-1:(-1/5)^2

$$2 \cdot ( \frac { 3 } { 5 } ) ^ { - 1 } : ( - \frac { 1 } { 5 } ) ^ { 2 }$$

Evaluate

$$\frac{250}{3}\approx 83.333333333$$

Solution Steps

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

$$\frac{2\times \frac{5}{3}}{\left(-\frac{1}{5}\right)^{2}}$$

Multiply 2 and \frac{5}{3} to get \frac{10}{3}.

$$\frac{\frac{10}{3}}{\left(-\frac{1}{5}\right)^{2}}$$

Calculate -\frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$\frac{\frac{10}{3}}{\frac{1}{25}}$$

Divide \frac{10}{3} by \frac{1}{25} by multiplying \frac{10}{3} by the reciprocal of \frac{1}{25}.

$$\frac{10}{3}\times 25$$

Multiply \frac{10}{3} and 25 to get \frac{250}{3}.

$$\frac{250}{3}$$

Factor

$$\frac{2 \cdot 5 ^ {3}}{3} = 83\frac{1}{3} = 83.33333333333333$$