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

Answer 1

The quotient rule states that when dividing two exponential expressions with the same base, you subtract the exponents.

So, in this case, the base is 3 and the exponents are 9 and 7.

Using the quotient rule,

3^9 ÷ 3^7 = 3^(9-7) = 3^2

Therefore, the exponent of 3^9 ÷ 3^7 in exponential simplest form is 2.