Question
using the quotient rule of exponents what is the exponent of 3^9 divided by 3^7 when it is in a exponential simplest form
Answers
GPT-4o mini
To simplify \( \frac{3^9}{3^7} \) using the quotient rule of exponents, you subtract the exponent of the denominator from the exponent of the numerator:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case:
\[
\frac{3^9}{3^7} = 3^{9-7} = 3^2
\]
Thus, the exponent in the simplest form is \( 2 \).
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case:
\[
\frac{3^9}{3^7} = 3^{9-7} = 3^2
\]
Thus, the exponent in the simplest form is \( 2 \).