what is the exponent in an equivalent form of 7^9/ 7^6 if the base is 7

Answer 1

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 \( 3 \).