Investigation: Getting to the Root



Investigation: Rational Exponents & Solving Equations

Part 1: Getting to the Root!

Step 1: Solve the following problems without a calculator.

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Step 2: Now, using your calculator, solve the following problems.

1) [pic] 2)[pic][pic] 3)[pic][pic][pic] 4)[pic][pic][pic] 5)[pic] [pic]

Step 3: What do you notice about the answers in Step 1 and Step 2?

Now, generalize your results from Step 3. (Definition of Rational Exponents)

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Step 4: Using the definition of rational exponents, rewrite the following expressions.

1) [pic] 2) [pic] 3) [pic] 4)[pic][pic] 5) [pic]

6) [pic] 7) [pic] 8) [pic] 9)[pic][pic] 10) [pic]

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Part 2: Solving Equations!

Step 1: Solve the following equations using rational exponents.

1) [pic] 2) [pic] 3) [pic] 4) [pic]

5) [pic] 6) [pic] 7) [pic]

8) [pic] 9) [pic] 10) [pic]

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