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