+26376 the multiplicative inverse of -3
multiplicative inverse or reciprocal for a number \(x\), denoted by \(\frac{1}{x}\) or \(x^{−1}\),
is a number which when multiplied by \(x\) yields the multiplicative identity, \(1\).
\(\begin{array}{rcl } x\cdot \underbrace{\frac{1}{x}}_{\text{multiplicative inverse for x}} &=& 1 \\\\ &\text{ or }& \\\\ x\cdot\underbrace{ x^{-1} }_{\text{multiplicative inverse for x}} &=& 1\\ \end{array}\)
\(\begin{array}{lrcll} x=-3 & \\ & (-3)\cdot \underbrace{\frac{1}{(-3)}}_{\text{multiplicative inverse for }-3} &=& 1 \\\\ & &\text{ or }& \\\\ & (-3)\cdot\underbrace{ (-3)^{-1} }_{\text{multiplicative inverse for }-3} &=& 1\\ \end{array}\)
the multiplicative inverse of \(-3 ~\text{ is } ~ -\frac{1}{3} ~ \text{ or } ~ (-3)^{-1}\)
