Applying the Quotient Rule of Exponents, what is an equivalent form of 6^9÷6^5

Question

? Answer with a whole number for the exponent.

Answer 1

To simplify \( 6^9 \div 6^5 \) using the Quotient Rule of Exponents, we subtract the exponents:

\[ 6^9 \div 6^5 = 6^{9-5} = 6^4 \]

Thus, the equivalent form of \( 6^9 \div 6^5 \) is:

\[ 6^4 \]

And since you requested a whole number for the exponent, the answer is:

\[ 4 \]