(5xA $$ \frac{x^{\frac{11}{4}}}{x^{\frac{3}{4}}} $$ Simplify. Assume all variables are positive.

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$ 5x \cdot \left( \frac{x^{\frac{11}{4}}}{x^{\frac{3}{4}}} \right) $$

**Step 1: Simplify the Fraction**

Use the property of exponents $$\frac{x^a}{x^b} = x^{a-b}$$:

$$
\frac{x^{\frac{11}{4}}}{x^{\frac{3}{4}}} = x^{\frac{11}{4} - \frac{3}{4}} = x^{\frac{8}{4}} = x^2
$$

**Step 2: Multiply by $$5x$$**

$$
5x \cdot x^2 = 5x^{1+2} = 5x^3
$$

**Final Simplified Expression:**

$$
5x^3
$$
The simplified expression is $$5x^3$$.

(5xA

Simplify. Assume all variables are positive.