Simplify Fourth Root F8B299

1. **State the problem:** We want to simplify or solve the expression $\frac{9}{\sqrt[4]{x}}$. 2. **Recall the formula:** The fourth root of $x$ is written as $\sqrt[4]{x} = x^{\frac{1}{4}}$. 3. **Rewrite the expression:** $$\frac{9}{\sqrt[4]{x}} = \frac{9}{x^{\frac{1}{4}}}$$ 4. **Use the rule of exponents:** Dividing by $x^{\frac{1}{4}}$ is the same as multiplying by $x^{-\frac{1}{4}}$: $$9 \times x^{-\frac{1}{4}} = 9x^{-\frac{1}{4}}$$ 5. **Interpretation:** This is the simplified form. If you want to solve for $x$ given an equation, you would need more information. 6. **Summary:** The expression $\frac{9}{\sqrt[4]{x}}$ can be rewritten as $9x^{-\frac{1}{4}}$ which is often easier to work with in algebraic manipulations.