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

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

Evaluate

$$-\frac{9}{25}=-0.36$$

Solution Steps

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

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

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

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

Divide \frac{1}{3} by \frac{1}{5} by multiplying \frac{1}{3} by the reciprocal of \frac{1}{5}.

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

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

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

Calculate \frac{5}{3} to the power of -2 and get \frac{9}{25}.

$$-\frac{9}{25}$$

Factor

$$-\frac{9}{25} = -0.36$$