Question

Evaluate ${\left(\frac{x}{y}\right)}^{p-q}\times {\left(\frac{x}{y}\right)}^{q-r}\times {\left(\frac{x}{y}\right)}^{r-p}$

• A. $-1$
• B. $1$
• C. $0$
• D. $2$

Answer 1

The correct option is B $1$

${\left(\frac{x}{y}\right)}^{p-q}\times {\left(\frac{x}{y}\right)}^{q-r}\times {\left(\frac{x}{y}\right)}^{r-p}$
=${\left(\frac{x}{y}\right)}^{p-q+q-r+r-p}$
=${\left(\frac{x}{y}\right)}^0=1$

Hence, option $B$ is correct.