Question

\\ (9n^4)^{\frac{1}{2}} \\

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Apply the power of a product rule

$$ (9n^4)^{\frac{1}{2}} = 9^{\frac{1}{2}} \cdot (n^4)^{\frac{1}{2}} $$

Step 2: Simplify each part

$$ 9^{\frac{1}{2}} = \sqrt{9} = 3 $$

$$ (n^4)^{\frac{1}{2}} = n^{4 \cdot \frac{1}{2}} = n^2 $$

Step 3: Combine the simplified terms

$$ 3 \cdot n^2 = 3n^2 $$

Answer:

$$ 3n^2 $$