MCQ
Which of the following is equal to $x$ ?
  • A
    $x^{\frac{12}{7}}-x^{\frac{5}{7}}$
  • $\left(\sqrt{x^3}\right)^{\frac{2}{3}}$
  • C
    $x^{\frac{12}{7}} \times x^{\frac{7}{12}}$
  • D
    $\sqrt[12]{\left(x^4\right)^{\frac{1}{3}}}$

Answer

Correct option: B.
$\left(\sqrt{x^3}\right)^{\frac{2}{3}}$
B

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If $l+m-n=9$ and $l^2+m^2+n^2=31$, then the value of $m n+n l-l m$ is :
ABCD is parallelogram. If AB = 3.6 cm and altitude corresponding to sides AB and AD are respectively 5 cm and 4 cm, then AD will be:
In the figure, $O$ is the centre of the circle and $O P=O Q$ and $C D=6 cm$. The length of $A B$ is :
Image
The bisectors of $\angle A$ and $\angle B$ of the parallelogram ABCD intersect at $E . \angle AEB =$
The distribution of marks of students of a class in a test is shown in the table below.
Marks Number of students
0 - 1512
15 - 3019
30 - 458
45 - 604

Which of the following statements are correct?
(i) We can definitely say that no one scored 60 marks.
(ii) The number of students who got at least 30 marks is 12.
Assertion (A) : The distance between origin (O) and P(4, 3) is given by $OP =\sqrt{4^2+3^2}=5$ units.
Reason (R) : The distance between the points $A \left(x_1, y_1\right)$ and $B \left(x_2, y_2\right)$ is given by $AB =\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$
Two diagonals of a parallelogram $A B C D$ intersect at $O$. If the area of the parallelogram is $20 cm^2$, then the area of $\triangle AOB$ is :
The diagonals of a quadrilateral are equal and they bisect each other. The quadrilateral is definitely a:
$P$ and $Q$ are two points on the side $D C$ of a $\| gm A B C D$. If the area of $\triangle P A B$ is $10 cm^2$, then the area of $\triangle QAB$ is :
Assertion (A) : One of the factors of $(5 x+1)^2+\left(25 x^2-1\right)$ is $2 x$.
Reason (R) : $(a+b)^2=(a+b)(a+b)$
$a^2-b^2=(a+b)(a-b)$