Solve (-5^-1*3^-1)div6^-1

$$( - 5 ^ { - 1 } \times 3 ^ { - 1 } ) \div 6 ^ { - 1 }$$

Evaluate

$$-\frac{2}{5}=-0.4$$

Solution Steps

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

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

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

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

Multiply -\frac{1}{5} and \frac{1}{3} to get -\frac{1}{15}.

$$\frac{-\frac{1}{15}}{6^{-1}}$$

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

$$\frac{-\frac{1}{15}}{\frac{1}{6}}$$

Divide -\frac{1}{15} by \frac{1}{6} by multiplying -\frac{1}{15} by the reciprocal of \frac{1}{6}.

$$-\frac{1}{15}\times 6$$

Multiply -\frac{1}{15} and 6 to get -\frac{2}{5}.

$$-\frac{2}{5}$$

Factor

$$-\frac{2}{5} = -0.4$$