What is the radical form of each of the given expressions?
2 answers:
ANSWER
The radical form of the expression
![{a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%20%7D%20%3D%20%5Csqrt%5Bn%5D%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%20)
Note that

are not written explicitly. However, greater values are written explicitly.
So, for


This implies that, we will just write

for


This implies that,
![{2}^{ \frac{2}{3} } = \sqrt[3]{ {2}^{2} }](https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7B%20%7B2%7D%5E%7B2%7D%20%7D%20)
Similarly,

2^1/2 = √2
2^2/3 = ∛2^2
3^3/2 = √3^3
3^1/3 = ∛3
hope it helps
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