Question
SEE EXAMPLET 22. sqrt (3) 24. sqrt [5](3^2) 23. sqrt [3](7) 25. sqrt [4](2^-5)

23. sqrt [3](7)
25. sqrt [4](2^-5)](https://static.questionai.ca/resource%2Fqaiseoimg%2F202501%2Fsee-examplet22-sqrt-324-sqrt-53223-sqrt-3725-sqrt-425-tgZ9gcABYS0l.jpg?x-oss-process=image/resize,w_600,h_600/quality,q_50/format,webp)
Solution

4.3(225 Voting)

HazelProfessional · Tutor for 6 years
Answer
### $3^{\frac{2}{5}}$
Explain
## Step 1: Rewrite the exponent as a fraction<br /><br />### We are asked to simplify $\sqrt [5]{3^{2}}$. The expression $\sqrt[n]{a^m}$ is equivalent to $a^{\frac{m}{n}}$.<br /><br />## Step 2: Express using a fractional exponent<br /><br />### Therefore, $\sqrt [5]{3^{2}}$ can be rewritten as $3^{\frac{2}{5}}$.
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