Question
the Property of Negative Exponents and the Product Rule of Exponents
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GPT 3.5
The Property of Negative Exponents states that when a number or variable is raised to a negative exponent, it can be rewritten as the reciprocal of the same number or variable raised to the positive exponent.
For example, if we have x^-n, where x is a non-zero number or variable, we can rewrite it as 1/x^n.
The Product Rule of Exponents states that when multiplying two numbers or variables with the same base but different exponents, we can add the exponents together.
For example, if we have x^m * x^n, where x is a non-zero number or variable, we can rewrite it as x^(m+n).
These properties are useful when simplifying expressions with negative exponents or when simplifying products of numbers or variables with the same base but different exponents.
For example, if we have x^-n, where x is a non-zero number or variable, we can rewrite it as 1/x^n.
The Product Rule of Exponents states that when multiplying two numbers or variables with the same base but different exponents, we can add the exponents together.
For example, if we have x^m * x^n, where x is a non-zero number or variable, we can rewrite it as x^(m+n).
These properties are useful when simplifying expressions with negative exponents or when simplifying products of numbers or variables with the same base but different exponents.
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