Find : 

$(i)$ $64^{\frac{1}{2}}$

$(ii)$ $32^{\frac{1}{5}}$

$(iii) $ $125^{\frac{1}{3}}$

Vedclass pdf generator app on play store
Vedclass iOS app on app store

$(i)$ $(64)^{\frac{1}{2}}=\left(8^{2}\right)^{\frac{1}{2}}=8^{2 \times \frac{1}{2}}=8$

$(ii)$  $32^{\frac{1}{5}}=\left(2^{5}\right)^{\frac{1}{5}}=2^{5 \times \frac{1}{5}}=2^{1}=2$

$(iii)$  $125^{\frac{1}{3}}=\left(5^{3}\right)^{\frac{1}{3}}=5^{3 \times \frac{1}{3}}=5$

Similar Questions

Locate $\sqrt 3$ on the number line.

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.

Add $2 \sqrt{2}+5 \sqrt{3}$ and $\sqrt{2}-3 \sqrt{3}$

Visualize the representation of $5.3 \overline{7}$. on the number line upto $5$ decimal places, that is, up to $5.37777$.

Locate $\sqrt 2$ on the number line.