Question

you try:
\\x^{\frac{4}{3}} \cdot x^{\frac{2}{3}} =\\

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Apply the product rule of exponents

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

$$ x^{\frac{4}{3}} \cdot x^{\frac{2}{3}} = x^{\frac{4}{3} + \frac{2}{3}} $$

Step 2: Add the fractional exponents

Since the denominators are the same, add the numerators directly:

$$ \frac{4}{3} + \frac{2}{3} = \frac{4 + 2}{3} = \frac{6}{3} $$

Step 3: Simplify the exponent

Simplify the fraction in the exponent:

$$ \frac{6}{3} = 2 $$

So, the expression simplifies to:

$$ x^2 $$

Answer:

$$ x^2 $$