Apply the Quotient Rule of Integer Exponents to simplify 23 powered by 65÷23 powered by 32 .
To apply the quotient rule of integer exponents, we subtract the exponents.
First, let's simplify the numerator and denominator separately.
The numerator, 23^65, stays the same.
In the denominator, we have 23^32.
Now, we apply the quotient rule by subtracting the exponents:
23^65 ÷ 23^32 = 23^(65-32) = 23^33