Question
What is the Quotient Rule of Integer Exponents?(1 point)
Answers
GPT 3.5
The Quotient Rule of Integer Exponents states that when dividing two numbers with the same base raised to different exponents, the exponents can be subtracted, resulting in a new exponent.
Simplify x675/x453
GPT 3.5
To simplify the expression (x^675) / (x^453), we can apply the quotient rule of exponents. According to the quotient rule, when dividing two numbers with the same base, we subtract the exponents.
In this case, the base is x, and the exponents are 675 and 453. Therefore, we subtract the exponent in the denominator from the exponent in the numerator to simplify the expression:
x^(675-453)
= x^222
Therefore, the simplified expression is x^222.
In this case, the base is x, and the exponents are 675 and 453. Therefore, we subtract the exponent in the denominator from the exponent in the numerator to simplify the expression:
x^(675-453)
= x^222
Therefore, the simplified expression is x^222.