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

Answer 1

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

So when simplifying the expression 12^53 ÷ 7^53, we subtract the exponent of 7 from the exponent of 12.

12^53 ÷ 7^53 = 12^(53-53) ÷ 7^0

Any number to the power of 0 is equal to 1, so we have:

12^(53-53) ÷ 7^0 = 12^0 ÷ 1

Any number to the power of 0 is equal to 1, so:

12^0 ÷ 1 = 1 ÷ 1 = 1

Therefore, the simplified expression is 1.