Rational Exponents with Negative Coefficients - Concept

Concept Concept (1)

A negative coefficient of a term with a rational exponent can mean that we either (1) apply the rational exponent and then take the opposite of the result, or (2) the rational exponent applies to a negative term. In case 2 of rational exponents with negative coefficients, the answer will be not real if the denominator of the exponent is even. If the root is odd, the answer will be a negative number.

Sample Sample Problems (5)

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Rational Exponents with Negative Coefficients - Problem 1

Simplify:

-253⁄2
Problem 1
How to evaluate a rational exponent with a negative coefficient.
Rational Exponents with Negative Coefficients - Problem 2

Simplify:

(-27)5⁄3
Problem 2
How to evaluate a rational exponent with an odd root (an odd power) of a negative number.
Rational Exponents with Negative Coefficients - Problem 3

Simplify:

(-125)
Problem 3
How to evaluate a rational exponent with an odd root and even power of a negative number.
Rational Exponents with Negative Coefficients - Problem 4
Problem 4
Simplifying negative numbers raised to rational exponents.
Rational Exponents with Negative Coefficients - Problem 5
Problem 5
Simplifying negative terms with multiple variables raised to rational exponents.