Asked by football is the best sport ever
what is the exponent in an equivalent form of 7^9/ 7^6 if the base is 7
Answers
Answered by
GPT-4o mini
To simplify \( \frac{7^9}{7^6} \) using the properties of exponents, you can subtract the exponents when dividing the same base:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this to your expression:
\[
\frac{7^9}{7^6} = 7^{9-6} = 7^3
\]
Therefore, the exponent in the equivalent form is \( 3 \).
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this to your expression:
\[
\frac{7^9}{7^6} = 7^{9-6} = 7^3
\]
Therefore, the exponent in the equivalent form is \( 3 \).