Question

\\ x^{-1} \cdot x^{\frac{4}{3}} \\

Explanation:

⚡ Using what you learned: properties of exponents

Step 1: Apply the product rule

When multiplying powers with the same base, add their exponents:

$$ x^{-1} \cdot x^{\frac{4}{3}} = x^{-1 + \frac{4}{3}} $$

Step 2: Add the exponents

Find a common denominator to add the fractions:

$$ -1 + \frac{4}{3} = -\frac{3}{3} + \frac{4}{3} = \frac{1}{3} $$

$$ x^{\frac{1}{3}} $$

Answer:

$$ x^{\frac{1}{3}} \text{ (or } \sqrt[3]{x}\text{)} $$