mutiplicative inverse

Divide by -3

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 $-3 ~\text{ is } ~ -\frac{1}{3} ~ \text{ or } ~ (-3)^{-1}$