radical and rational exponent

Radicals

100

root(3)(-125)

-5

200

root(2)(64x^20)

8x¹⁰

300

root(2)(x^2)*root(3)(x^2)

x^(5/3)

400

root(2)(128xy^11z^6)

8y^5z^3root(2)(2xy)

500

(root(3)(81x^4y^6))/(root(3)(3xy^0))

3xy²

Rational exponents

100

64^(1/3)

4

200

16^(3/2)

64

300

(27x^(3/2))/(9x^(1/2))

3x

400

Convert the following expression from Radical Form to Exponential Form:

root(4)(32a^2b^14)

2^(5/4)*a^(1/2)*b^(7/2)

500

3root(3)(81x^17)

9x^5root(3)(3x^2)

Simplifying rational expressions

100

sqrt(7)*sqrt(2)

sqrt(14)

200

sqrt(135)/sqrt(3)

3sqrt(5)

300

root(3)(56x^3)

2xroot(3)(7)

400

root(3)(27m^3n^7)

3mn^2root(3)(n)

500

sqrt((11y^17)/(125x^4)

(y^8sqrt(11y))/(5x^2sqrt5)

Adding, Subtracting, and Multiplying Radical Expression

100

-4sqrt6-sqrt6

-5sqrt6

200

2sqrt8-sqrt8

2sqrt(2)

300

2sqrt50-3sqrt2+sqrt32

11sqrt2

400

3root(3)(8p^5)-2root(3)(27p^5)

0

500

Surprise!!!!!

Formula: 

a^(m/n) = ? or ?

=root(n)(a^m)=(root(n)(a))^m

Random

100

What is the name of the school Harry Potter attends

Hogwarts School of Witchcraft and Wizardry

200

What type of creature is Toothless in the movie "How to Train Your Dragon"

night fury

300

In "Zootopia," what job does Judy Hopps aspire to have?

a police officer

400

What type of business does Pearl's father, Mr. Krabs, own?

Krusty Krab

500

In "The Lion King," what phrase does Rafiki say means "no worries"

Hakuna Matata