Answer:
The radical expression which represents a to the four ninths power is:
Ninth root of a to the fourth power.
Step-by-step explanation:
We are asked to find the radical expression for the word phrase:
a to the four ninths power.
i.e. mathematically it could be written as:
[tex]a^{\dfrac{4}{9}}[/tex]
Now, we know that:
[tex]a^{\dfrac{m}{n}}=(a^m)^{\dfrac{1}{n}}=\sqrt[n]{a^m}[/tex]
Here we have:
[tex]m=4\ \text{and}\ n=9[/tex]
Hence, the expression cold be written as:
[tex]a^{\dfrac{4}{9}}=\sqrt[9]{a^4}[/tex]
