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

Question

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

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

Solution

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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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