Apply the quotient rule of integer exponents to simplify 23⁶⁵ ÷ 23³². .

A. 1³³
B. 23³³
C. 97
D. 23⁹⁷

1 answer

To apply the quotient rule of exponents, we subtract the exponents when dividing exponents with the same base.

In this case, we have 23⁶⁵ ÷ 23³².

The quotient rule states that a^m ÷ a^n = a^(m-n).

So, 23⁶⁵ ÷ 23³² can be simplified as 23^(65-32).

Simplifying the exponent, we get 23³³.

Therefore, the answer is B. 23³³.