Question: 11.) y = ⁴√x / √(1−x)
1. **State the problem:** Simplify the expression $$y = \frac{\sqrt[4]{x}}{\sqrt{1-x}}$$.
2. **Recall the rules:**
- The fourth root can be written as a fractional exponent: $$\sqrt[4]{x} = x^{\frac{1}{4}}$$.
- The square root can be written as a fractional exponent: $$\sqrt{1-x} = (1-x)^{\frac{1}{2}}$$.
3. **Rewrite the expression using exponents:**
$$y = \frac{x^{\frac{1}{4}}}{(1-x)^{\frac{1}{2}}}$$
4. **This is already simplified as a quotient of powers with different bases.**
5. **Final answer:**
$$y = \frac{x^{\frac{1}{4}}}{(1-x)^{\frac{1}{2}}}$$