Question

Apply the Quotient Rule of Exponents to simplify 9 8/9 6
as an equivalent expression. Express your answer as a whole number.(1 point)

Answer 1

To simplify \( \frac{9^8}{9^6} \) using the Quotient Rule of Exponents, we apply the rule which states that \( \frac{a^m}{a^n} = a^{m-n} \).

Here, we can identify:
- \( a = 9 \)
- \( m = 8 \)
- \( n = 6 \)

Applying the Quotient Rule:

\[
\frac{9^8}{9^6} = 9^{8-6} = 9^2
\]

Now, we calculate \( 9^2 \):

\[
9^2 = 81
\]

Thus, the simplified expression is \( 81 \).

So, the final answer is:

\[
\boxed{81}
\]