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

Question

6
9
÷
6
5
? Answer with a whole number for the exponent.(1 point)
base=, exponent=

Answer 1

The Quotient Rule of Exponents states that when you divide two expressions with the same base, you subtract the exponents.

For the expression \( 6^9 \div 6^5 \), you subtract the exponent in the denominator from the exponent in the numerator:

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

So, the equivalent form is:

• base = 6
• exponent = 4