Apply the Quotient Rule of Integer Exponents to simplify 23 powered by 65÷23 powered by 32 .

Answer 1

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