Let the number \((-15)^{-1}\) should be divided by x
According to the question:
\((-15)^{-1}\)\(\div x\)\(=(-5)^{-1}\)
\(\frac{1}{-15}\div x=-\frac{1}{5}\)[Using \(a^{-n}=\frac{1}{a^{n}}\)]
\(-\frac{1}{15}\times \frac{1}{x}=-\frac{1}{5}\)[Using \(p\div q=p\times\frac{1}{q}\)]
\(\frac{1}{x}=\frac{(-1)\times (-15)}{5}\)
\(\frac{1}{x}=3\)
\(x=\frac{1}{3}\)
Therefore \((-15)^{-1}\) should be divided by \(\frac{1}{3}\)
