Apply the quotient rule of integer exponents to simplify 23⁶⁵ ÷ 23³². .
A. 1³³
B. 23³³
C. 97
D. 23⁹⁷
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.
To apply the quotient rule of integer exponents to simplify the expression 23⁶⁵ ÷ 23³², we need to subtract the exponents. According to the quotient rule, when dividing two numbers with the same base, we subtract the exponents.
So, 23⁶⁵ ÷ 23³² can be simplified as 23^(65 - 32) = 23³³.
Therefore, the answer is B. 23³³.
To simplify the expression 23⁶⁵ ÷ 23³² using the quotient rule of integer exponents, we subtract the exponents:
23⁶⁵ ÷ 23³² = 23^(65 - 32).
Simplifying the expression inside the parentheses:
23^(65 - 32) = 23^33.
Therefore, the simplified expression is 23^33.
The answer is B. 23³³.