Using the Quotient Rule of Exponents, what is the exponent of 3^9 ÷ 3^7 when it is in exponential simplest form?(1 point)

Answer 1

To simplify the expression \(3^9 \div 3^7\) using the Quotient Rule of Exponents, we can apply the rule which states that \(a^m \div a^n = a^{m-n}\).

In this case:

• \(a = 3\)
• \(m = 9\)
• \(n = 7\)

Applying the rule:

\[ 3^9 \div 3^7 = 3^{9-7} = 3^2 \]

Thus, the exponent in the exponential simplest form is \(2\).