Question

The value of $x^{p-q}·x^{q-r}·x^{r-p}$ is equal to
(a) 0

(b) 1

(c) x

(d) x^pqr

Answer 1

$$\begin{gathered} x^{p-q}·x^{q-r}·x^{r-p}=x^{p-q+q-r+r-p} \\ =x^0 \\ =1 \\ \therefore \mathrm{The}\mathrm{value}\mathrm{of}{x}^{p-q}·x^{q-r}·x^{r-p}\mathrm{is}\mathrm{equal}\mathrm{to}1. \end{gathered}$$

Hence, the correct option is (b).