Question

Which of the following is the radical expression of a^4/9

Answer 1

Answer: OPTION 4.

Explanation:

By definition, Radical expressions are those that use a root.

In this case you have this expression:

`a^{(4)/(9)`

In order to find the radical expression of
`a^{(4)/(9)`, it is important to remember that:

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

Therefore, once you apply this, you get:

`a^{(4)/(9)=\sqrt[9]{a^4}`

You can observe that it matches with the expression provided in Option 4.

Answer 2

For this case we must find an expression equivalent to:

`a ^ {\frac {4} {9}}`

By definition of properties of powers and roots we have:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

So, rewriting the expression we have:

`\sqrt [9] {a ^ 4}`

Answer:

Option 4