Question

$$\left. \begin{array} { l } { ( - 150 ) \div ( - 25 ) } \\ { = \frac { - 180 } { - 20 } } \end{array} \right.$$

Answer

-6

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{\imath }^{2}\times \frac{-150}{-25}\]
Use Square Rule: \({i}^{2}=-1\).
\[-1\times \frac{-150}{-25}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[-\frac{1\times -150}{-25}\]
Simplify  \(1\times -150\)  to  \(-150\).
\[-\frac{-150}{-25}\]
Two negatives make a positive.
\[-\frac{150}{25}\]
Simplify  \(\frac{150}{25}\)  to  \(6\).
\[-6\]