MCQ
$\sqrt[4]{\sqrt[3]{2^2}}$ is equal to:
- A$2^{-6}$
- ✓$2^{\frac{1}{6}}$
- C$2^{6}$
- D$2^{-\frac{1}{6}}$
✓
Answer
Correct option: B.
$2^{\frac{1}{6}}$
$\sqrt[4]{\sqrt[3]{2^2}}=\sqrt[4]{(2)^{\frac{2}{3}}}$
$=(2)^{\frac{2}{3}\times\frac{1}{4}}$
$=(2)^{\frac{1}{6}}$
$=(2)^{\frac{2}{3}\times\frac{1}{4}}$
$=(2)^{\frac{1}{6}}$
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 product $(a+b)(a-b)\left(a^2-a b+b^2\right)\left(a^2+a b+b^2\right)$ is equal to:
→Write the correct answer in the following: Point $(-3, 5)$ lies in the:
→If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a
In the following, write the correct answer. In $\triangle\text{ABC}$ if $AB = AC$ and $\angle\text{B}=50^{\circ}$ then is equal to:
→The mean of n observations is $\overline{\text{X}}$ If each observation is multiplied by $k$, the mean of new observations is:
→Write the correct answer in the following: The graph of the linear equation $y = x$ passes through the point.
→$BC$ is a diameter of the circle and $\angle\text{BAO}=60^\circ.$ Then $\angle\text{ADC}$ is equal to: 
→If the sides of a triangle are doubled, then its area:
If $(x-3)$ is a factor of $f(x)=x^2+a$, then the remainder when $f(x)$ is divided by $(x-2)$ is
→For which set of numbers do the mean, median and mode all have the same value?