Fractional Powers, Fractional Exponents and Rational Exponents

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Examples, videos, worksheets, solutions, and activities to help Algebra 1 students learn about Fractional Powers, Fractional Exponents and Rational Exponents.

The following diagram shows how to convert between rational powers and radical notation. Scroll down the page for more examples and solutions of rational powers.

Fractional Exponent Problem
Step by step procedures for simplifying numeric expressions involving fractional and negative exponents
Examples:
(1) 9^-2
(2) 8^2/3
(3) 32^2/5
(4) 27^-1/3
(5) (1/2)^-2
(6) (-32)^-3/5
(7) 16^1/2
(8) (4/81)^3/2

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Evaluating Numbers Raised to Fractional Exponents
Many examples of evaluating numbers raised to fractional exponents are shown along with the general rules.
Examples:
(1) 8^2/3
(2) -16^3/4
(3) (-9^3/4)²
(4) 27^5/6 × 27^-1/6
(5) (8^-1/3 + 27^-1/3)²

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Fractional Powers
Understand how powers that are fractions work in this quick and easy video.

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Fractional Exponents

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Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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