Question

Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
Responses

12^53÷7^53

12106
12 superscript 106 baseline

553
5 superscript 53 baseline

5106

Answer 1

To simplify the expression 12^53 ÷ 7^53 using the Quotient Rule of Integer Exponents, we subtract the exponents:

12^53 ÷ 7^53 = 12^(53-53) ÷ 7^(53-53) = 12^0 ÷ 7^0

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

12^0 ÷ 7^0 = 1 ÷ 1 = 1

The simplified expression is 1.