Question

\\((16x^6)^{\frac{1}{2}}\\)

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Distribute the exponent

$$ (16x^6)^{\frac{1}{2}} = 16^{\frac{1}{2}} \cdot (x^6)^{\frac{1}{2}} $$

Step 2: Simplify each part

$$ 16^{\frac{1}{2}} = \sqrt{16} = 4 $$

$$ (x^6)^{\frac{1}{2}} = x^{6 \cdot \frac{1}{2}} = x^3 $$

Step 3: Combine the results

$$ 4x^3 $$

Answer:

$$ 4x^3 $$