Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53 .

Question

A. 5^53
B. 12^53÷7^53
C. 12^106
D. 5^106

Answer 1

The quotient rule of integer exponents states that when you divide two numbers with the same base, you subtract the exponents.

Therefore, 12^53 ÷ 7^53 can be simplified as 12^(53 - 53) ÷ 7^(53 - 53).

Since 53 - 53 = 0, this expression simplifies to 12^0 ÷ 7^0.

Any number (except 0) raised to the power of 0 is equal to 1. Therefore, 12^0 = 1 and 7^0 = 1.

So, the result is 1 ÷ 1 which equals 1.

Therefore, the simplified expression is 1.

Answer: None of the given options