Question

\\ n^{\frac{-5}{3}} \cdot n^{\frac{2}{3}} \\

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Apply the product rule of exponents

$$ n^{\frac{-5}{3}} \cdot n^{\frac{2}{3}} = n^{\frac{-5}{3} + \frac{2}{3}} $$

Step 2: Simplify the exponent

$$ \frac{-5}{3} + \frac{2}{3} = \frac{-5 + 2}{3} = \frac{-3}{3} = -1 $$

$$ n^{-1} $$

Step 3: Write with a positive exponent

$$ n^{-1} = \frac{1}{n} $$

Answer:

$$ \frac{1}{n} $$