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Final: The Exponent

Part of the Radicals & Rational Exponents section of Coddy's Algebra 2 journey. Lesson 38 of 40.

Work out the value of the power on the board. Its base is a fraction and its exponent is a negative fraction. The answer is a whole number.

Challenge

Work out ${\frac{1}{9}}^{\frac{-3}{2}}$ . Type each line: flip the base, take the root, then the power.

Try it yourself

\frac{1}{9}^{\frac{-3}{2}}

Simplify

All lessons in Radicals & Rational Exponents

1Simplest Form

Perfect Square Factors Like Radicals Simplify First Recap: Adding Radicals

4Rationalizing

One Root Below A Number and a Root The Conjugate Below Recap: Rationalizing

7Powers and Roots Equations

Odd Powers Even Powers Fractional Powers Two Thirds Power Recap: Power Equations

2Letters and Cube Roots

Letters Under the Root Cube Roots Recap: Simplifying Radicals

5Rational Exponents

One Over n m Over n Negative Exponents Exponent Rules Still Work Recap: Rational Exponents

8Radical Functions

Domain of a Root Evaluating Inverse of a Square Recap: Radical Functions

3Multiplying Radicals

Root Times Root Distributing a Root Two Brackets Conjugate Pairs Recap: Multiplying Radicals

6Radical Equations

Square Both Sides Isolate the Root First A False Answer Cube Root Equations Recap: Radical Equations

9Final Challenges

Final: Simplify and Add Final: Clear the RootFinal: The ExponentFinal: Check It Final: The Falling Ball