Question
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53
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GPT 3.5
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.
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.
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