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

Question

A. 1³³
B. 23³³
C. 97
D. 23⁹⁷

Answer 1

To simplify 23⁶⁵ ÷ 23³² using the quotient rule of integer exponents, we subtract the exponents.

23⁶⁵ ÷ 23³² = 23^(65-32) = 23³³

So the correct answer is B. 23³³.

Answer 2

Simplify this expression using the quotient rule integer exponents 12⁵³ ÷ 7⁵³
A. 12¹⁰⁶
B. 12⁵³ ÷ 7⁵³
C. 5⁵³
D. 5¹⁰⁶

Answer 3

To simplify 12⁵³ ÷ 7⁵³ using the quotient rule of integer exponents, we subtract the exponents.

12⁵³ ÷ 7⁵³ = 12^(53-53) ÷ 7^(53-53)
= 12⁰ ÷ 7⁰
Since any number (except 0) raised to the power of 0 is 1, we have:
= 1 ÷ 1
= 1

So the correct answer is none of the given options.