Question

The question is which of these statements are true about radicals exponents and rational exponents

Answer 1

We have the following:

I)

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

It´s true

II)

`a^{(1)/(2)}=\sqrt[]{a}`

It´s true

III)

`\begin{gathered} a^{(p)/(q)}=\sqrt[p]{a^q}=(\sqrt[p]{a})^q \\ (\sqrt[p]{a})^q=(a^{(1)/(p)})^q=a^{(q)/(p)} \end{gathered}`

It´s false

IV)

`\sqrt[]{a}`

It´s true

V)

`\begin{gathered} a^{(1)/(n)}=\sqrt[]{a^n} \\ \sqrt[]{a^n}=a^{(n)/(2)} \end{gathered}`

It´s false