Question

\\\frac{a^{\frac{5}{3}}}{a^{\frac{1}{3}}}\\

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Apply the quotient rule of exponents

When dividing powers with the same base, subtract the exponent in the denominator from the exponent in the numerator:

$$ \frac{a^{\frac{5}{3}}}{a^{\frac{1}{3}}} = a^{\frac{5}{3} - \frac{1}{3}} $$

Step 2: Subtract the fractions

Subtract the numerators since the denominators are the same:

$$ \frac{5}{3} - \frac{1}{3} = \frac{4}{3} $$

Step 3: Write the simplified expression

$$ a^{\frac{4}{3}} $$

Answer:

$$ a^{\frac{4}{3}} $$