Properties of Exponents
Rational Exponents
Solving Rational Equations
Properties of Rational Exponents
Radical Expressions
100
n^4/n^3
n
100
36^(-1/2)
1/6
100
4x^3=32
x=2
100
Trivia Break!
What animal is known to spend 90% of its day sleeping?
koala
100
(root 3(250))/root3(2)
5
200
x^5/(x^6•x^2)
1/(x^3)
200
Trivia Break!
Of the 7 continents, which contains the most countries?
Africa - there are 54 countries
200
5x^3=1080
x=6
200
Simplify the powers:
(3)/(3^(1/4))
3^(3/4)
200
root3(65y^6
= root3(4^3(y^2)^3 = 4y^2
300
(3s^3)^2/(ts^5)
(9s)/t
300
16^(3/2
= (16^(1/2))^3 =(sqrt16)^3 = 4^3= 64
300
Trivia Break!
In the Little Mermaid, what is the name of the singing crustacean?
Sebastian
300
Simplify the powers:
((42^(1/3))/(6^(1/3)))^2
7^(2/3)
300
root4(256a^6b^11c^4
2ab^2croot4(a^2b^3)
400
((4w^3)/(2z^2))^3
(8w^9)/(z^6)
400
Rewrite in proper radical form, then solve:
1^(7/8)
1
400
(x-5)^4=256
x=1 and 9
400
Fully Simplify:
(4^5•3^5)^(-1/5)
1/12
400
Trivia Break!
What is the highest grossing movie of all time?
Avatar
500
Trivia Break!
What is the highest score ever recorded by one team in a Superbowl game?
55 points (the 49ers)
500
32^(-3/5)
= ((1)/(root5(32)^3))=1/8
500
2x^4=1250
x=-5 and 5
500
500
(14xy^(1/3))/(2x^(3/4)z^(-6))
7x^(1/4)y^(1/3)z^6
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