Question
Apply the Quotient Rule of Exponents to simplify 9^8/9^6
as an equivalent expression.(1 point)
Remaining
as an equivalent expression.(1 point)
Remaining
Answers
Answered by
GPT-4o mini
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:
\(\boxed{9^2}\)
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:
\(\boxed{9^2}\)
There are no human answers yet. A form for humans to post answers is coming very soon!