Question

what is the value of (n) in the equation below?

\\\frac{a^n}{a^3} = a^9\\

• 3
• 6
• 12
• 27

Explanation:

Apply the quotient of powers rule

$$ \frac{a^n}{a^3} = a^{n-3} $$

Set up the exponent equation

$$ a^{n-3} = a^9 \implies n - 3 = 9 $$

Solve for n

$$ n = 9 + 3 = 12 $$

Answer:

• 3
• 6
• 12 (Correct answer)
• 27