MCQ
The value of $\sqrt[4]{\sqrt[3]{2^2}}$ is:
- ✓$2^{\frac{1}{6}}$
- B$2^6$
- C$2^{-6}$
- D$2^{\frac{-1}{6}}$
✓
Answer
Correct option: A.
$2^{\frac{1}{6}}$
$\sqrt[4]{\sqrt[3]{2^2}}$
$=\sqrt[4]{\sqrt{2^{\frac{2}{3}}}}$
$=2^{\frac{2}{3\times4}}=2^{\frac{1}{6}}$
$=\sqrt[4]{\sqrt{2^{\frac{2}{3}}}}$
$=2^{\frac{2}{3\times4}}=2^{\frac{1}{6}}$
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 perpendicular distance of the point $P(-2, -3)$ from the $y-$axis is:
→$y$ co-ordinate is known as:
→The sides of a triangular flower bed are $5m, 8m$ and $11m.$ the area of the flower bed is:
→The region between chord and either of the arc is called.
In which of the following figures, you find polynomials on the same base and between the same parallels$?$
→The ordinate of every point on the $x$-axis is:
→If a = 3 and b = 2 , then $(3 a-4 b)^{b-a} \div(4 a-3 b)^{2 b-a}$ is equal to
→In the give figure, $ABCD$ is a cyclic quadrilateral in which $BC = CD$ and $\angle\text{CBD}=35^\circ.$ Then, $\angle\text{BAD}=?$
→If a cone is cut into two parts by a horizontal plane passing through the mid-point of its axis, the axis, the ratio of the volumes of upper and lower part is:
If $x + 1$ is a factor of the polynomial $2x^2 + kx,$ then $k =$
→