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Lesson Objectives Teacher's Notes Lesson Notes
Algebra: Radicals and Exponents
1. Convert a square root to a rational exponent.
2. Convert a cube root to a rational exponent.
3. Convert an "nth" root to a rational exponent.
4. Reduce a rational exponent.
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Section 4.4Fractional Exponents
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Square Roots
A square root is equivalent to an exponent of onehalf.
exponent___________________________
index2 1
Pull for H
int
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Cube roots
What exponent is equivalent to a cube root?
Answer and explain.____________________________________________
311 exponent
___________________________
index
Pull for D
irections
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Converting Practice
Write using rational exponents.
Press tiles to reveal solutions.
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nth RootsWhat exponent is equivalent to an nth root?
mn__
Pull for Teacher's Notes
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Reducing Exponents
Write as a rational exponent. Then reduce.
48
2
Pull for H
int
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Reducing Practice
Write using rational exponents. Then reduce.
Press tiles to reveal solutions.
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Number Cube Practice
Use number cubes to generate values of m and n.
Write as a rational exponent. Reduce if necessary.
n:
m:
Pull for Teacher's Notes
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ChallengeWrite these rational exponents using radicals. Then click each tile to check your answers.
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Convert from Exponential Form to Radical Form
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64 (‐27)
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End of Lesson
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Lesson Objectives Teacher's Notes Lesson Notes
Grades: 9 through 12
These activities may be used to review, reinforce, or enrich your study of how to convert radicals to rational exponents.
Prior Knowledge:Students should be familiar with the terms index, exponent, radical, radicand, and rational. They also should be able to identify exponents and reduce fractions.
Algebra: Radicals and Exponents
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Lesson Objectives Teacher's Notes Lesson Notes
Students will practice converting square roots, cube roots, and nth roots to rational exponents. They will also reduce the rational exponents they find.
As a challenge, they will be asked to convert rational exponents to radical expressions.
Algebra: Radicals and Exponents
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