Question

Radicals and rational exponent Which of these statements are true about radicals and rational exponents

Answer 1

The correct options are 1, 2 and 4. The explanation is as follows

For the first one, the law of indices is applied. If we apply the same law for the second option, we would see that n = 2. It becomes square root of a.

For the third option, if we apply the law in the first option, we would see that q = n and p = 1. It means that the correct answer would have been

`a^{(p)/(q)}=\sqrt[q]{a^p}`

The 4th option is incorrect

For the 5th option, n was placed in the wrong position. By comparing it with the first rule, it would have been

`a^{(1)/(n)}=\sqrt[n]{a}`

Therefore, the correct option is I and II