Apply the Quotient Rule of Exponents to simplify 9^8/9^6

Question

as an equivalent expression.(1 point)
Remaining

Answer 1

To simplify \(\frac{9^8}{9^6}\) using the Quotient Rule of Exponents, you subtract the exponents when dividing like bases.

The Quotient Rule states that:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, we have:

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

Thus, the equivalent expression is:

\[ 9^2 \]

If needed, \(9^2\) can be further simplified to 81, but the answer in exponent form is often preferred:

\(\boxed{9^2}\)