The main rule to apply here is:
(i)![\displaystyle{ a^ {\displaystyle{ (\frac{b}{c})} }= \displaystyle{ \sqrt[c]{a^b}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20a%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7Bb%7D%7Bc%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5Bc%5D%7Ba%5Eb%7D%20)
(ii)If c=2, then we write the following
.
According to these rules:
![\displaystyle{ 5^ {\displaystyle{ (\frac{2}{3})} }= \displaystyle{ \sqrt[3]{5^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%205%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7B2%7D%7B3%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5B3%5D%7B5%5E2%7D%20)
.
.
![\displaystyle{ 3^ {\displaystyle{ (\frac{2}{5})} }= \displaystyle{ \sqrt[5]{3^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%203%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7B2%7D%7B5%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5B5%5D%7B3%5E2%7D%20)
.
.
(i)
(ii)If c=2, then we write the following
According to these rules:
1/8 of 32 bottles of water = blank bottles
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