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Negative Exponents

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Negative Exponents, a selection of answers from the Dr. Math archives.

Working with Negative Exponents
Is multiplying by 10 to the negative 3rd power the same as dividing by 10 to the positive 3rd power?

Negative Exponents
What does the negative power of 2 mean?

Exponents Containing Negative Integers
Order of operations and raising a negative number to a power.

Nested Negative Exponents
How do I deal with nested negative exponents?

Negative Numbers Combined with Exponentials
Why in the order of operations is negation a multiplication done after exponentiation, rather than as a part of the base? What about polynomials?

Positive and Negative Exponents
Why does (-1)^n = 1 for any even number n, and why is (-17) ^-8 positive?

Combining Positive and Negative Exponents
When you simplify exponential expressions using the power rule, how do you combine positive and negative exponents in the numerator and denominator?

Negative Signs in Exponents
Is (-2^2)^3 greater than or less than 2^5?

Negative Fraction Exponents
Can you help me simplify terms with negative fraction exponents? For example, [2n^(1/3) - 4n^(-2/3)]/[2n^(-2/3)].

Zero to a Negative Exponent
Is 0^(-3) equal to 0, or is it undefined? We can't determine whether to use the 0^x = 0 rule, or to interpret it as 1/(0^3).

Return to
Middle School Exponents
High School Exponents
Index of Selected Answers to Common Questions

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