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.(1 point)
base=
, exponent=

Answer 1

To apply the Quotient Rule of Exponents, we can use the rule which states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, we have \(6^9 \div 6^5\). Using the Quotient Rule, we can rewrite this as:

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

Thus, in this expression:

• base = \(6\)
• exponent = \(4\)

So the answer is:

base = \(6\), exponent = \(4\)