MCQ
The value of $x^{p-q} \cdot x^{q-r} \cdot x^{r-p}$ is equal to:
- A$0$
- ✓$1$
- C$x$
- D$x^{p q r}$
✓
Answer
Correct option: B.
$1$
$x^{p-q} \cdot x^{q-r} \cdot x^{r-p}$
$=x^{p-q+q-r+r-p}$
$=x^0$
$=1$
Hence, the correct option is $(b).$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The median of the data arranged in ascending order $8, 9, 12, 18, (x + 2), (x + 4), 30, 31, 34, 39$ is $24.$ The value of $x$ is:
→The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is:
The angles of a quadrilateral are in the ratio $3 : 4 : 5 : 6.$ The smallest of these angles is:
→If $4\text{x}-4\text{x}^{-1}=24,$ then $(2 x)^x$ equals:
→If $a b c=6$ and $a+b+c=6$, then $\frac{1}{a c}+\frac{1}{a b}+\frac{1}{b c}=$
→If $a^2+b^2+c^2-a b-b c-c a=0$, then
→In the given figure, $O$ is the centre of a circle. If $\angle\text{OAB}=40^\circ$ and $C$ is a point on the circle, then $\angle\text{ACB}=?$
→A point whose abscissa and ordinate are $2$ and $-5$ respectively, lies in:
→Which of the following is a rational number?
In two triangles $A B C$ and $P Q R$, if $A B=Q R, B C=R P$ and $C A=P Q$, then
→