Question

By what number should $(-15{)}^{-1}$ be divided so that the quotient is $(-5{)}^{-1}$?

• A. $3^{-1}$
• B. $3$
• C. $2$
• D. $2^{-1}$

Answer 1

The correct option is A $3^{-1}$

Assume that number be $x$.

Then, $\left(\frac{(-15{)}^{-1}}{x}\right)=(-5{)}^{-1}$,

So, $x=\left(\frac{-1}{15}\right)/\left(\frac{-1}{5}\right)=\frac{1}{3}=3^{-1}$

Option A is correct.