Question

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

Answer 1

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

Answer 2

Answer: OPTION 4.

Step-by-step explanation:

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

In this case you have this expression:

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

 In order to find the radical expression of  $a^{\frac{4}{9}$, it is important to remember that:

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

Therefore, once you apply this, you get:

 $a^{\frac{4}{9}=\sqrt[9]{a^4}$

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