Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32

Answer 1

To apply the Quotient Rule of Integer Exponents, we subtract the exponents when dividing two powers with the same base.

In this case, we have:
23^65 ÷ 23^32

Using the Quotient Rule, we subtract the exponents:
23^(65-32)

Simplifying the exponent, we have:
23^33

Therefore, 23^65 ÷ 23^32 simplifies to 23^33.