Rational Exponents.notebook
Rational Exponents to Radical Form
Title Square Roots
Rational Exponents to Radical Form
Rational Exponents Practice Put the index in the bottom
A square root is equivalent to an exponent of one­half.
and the exponent in the top.
Rational Exponents Homework
What is the index of a square root?
It is not written on the radical sign.
What is the exponent of x?
Pull for Hint
19
20
exponent
2
___________________________
1
index
Why? _________________________________
Erase the blue oval to check your explanation. Cube roots
What exponent is equivalent to a cube root?
Pull for Directions
check your xplanation.
Page #
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September 22, 2016
Converting Practice
Write using rational exponents. 1 exponent
3 index
___________________________
1
Answer and explain.
____________________________________________
Press tiles to reveal solutions. 1
Rational Exponents.notebook
September 22, 2016
Some students may benefit from a summary of the general rule: • The index becomes
the denominator.
• The exponent becomes the numerator. Pull for Teacher's Notes
Reducing Exponents
nth Roots
m
__
n
Write as a rational exponent. Then reduce.
Q) How do you reduce a rational exponent?
A) Exactly the same way
you reduce a rational number!
8
4
Pull for Hint
What exponent is equivalent to an nth root?
2
Press play to see the solution to the first exercise.
Answer and explain.
____________________________________________
Use the magnifying glass to reveal the answer.
Help students realize that m becomes the numerator of the rational exponent.
Likewise, n becomes the denominator of the rational exponent.
Have students reduce the rational exponent they get.
Pull for Teacher's Notes
Number Cube Practice
Reducing Practice
Write using rational exponents. Then reduce.
Use number cubes to generate values of m and n.
Write as a rational exponent. Reduce if necessary.
m:
n:
Press tiles to reveal solutions. 2
Rational Exponents.notebook
September 22, 2016
Some expressions are complicated and challenging.
Have students look for expressions that are obviously equivalent.
Click on the snap button when the expressions shown on the cards are equivalent.
Pull for Teacher's Notes
Match Equivalents
Challenge
Write these rational exponents using radicals. Then click each tile to check your answers.
Practice Makes Perfect
3
Rational Exponents.notebook
September 22, 2016
End of Lesson
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