Question

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

Answer

-5/3

Solution


Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{-\frac{3}{5}}\]
Move the negative sign to the left.
\[-\frac{1}{\frac{3}{5}}\]
Invert and multiply.
\[-\frac{5}{3}\]

Decimal Form: -1.666667