Algebra 2 Topic 21: Radical Exponents & Operations with Radical Expressions

Simplifying Radical Form

100

Simplify

sqrt(36)

 using rational exponents.

6

200

Simplify

root(4)(16)

 using rational exponents.

2)

300

Simplify

root(3)(-27)

 using rational exponents.

-3

400

Simplify

root(3)(2^3)

 using rational exponents.

2

500

Simplify

root(3)(-16)

 using rational exponents.

-2(2^(1/3))

Conversion Between Rational Exponent Form and Radical Form

100

Convert

y^(7/2)

 to radical form.

sqrt(y^7)

200

Convert

(root(5)(b))^3

 to exponential form.

b^(3/5)

300

Convert to exponential form.

sqrt(a^5)

a^(5/2)

400

Convert to exponential form.

root(4)(x^3)

x^(3/4)

500

Convert to radical form.

w^(-5/8)

1/(root(8)(w^5))

Simplest Form

100

Simplify.

5^(1/2)*5^(1/2)

5

200

Simplify.

25^(-3/2)

1/125

300

Which country artist has a song called A Simple Song?

Chris Stapleton

400

Which rock group produced the song Simple Man?

Lynyrd Skynyrd

500

Simplify.

sqrt(11)(root(4)(11))

root(4)(1331)

Solving

200

(2x)^(1/3)=4

32

300

x^(4/3) - 12 = 4

8

400

-3x^(2/3)+21=-6

27

Name That Artist

100

I painted Mona Lisa

Leonardo De Vinci

200

If you listen to my song you might want to... turn the tv off

Kendrick Lamar

300

I would sing a song to the seniors after they graduate #Congratulations

Post Malone

400

Yung Gravy made a song and the title was my grandmother's name... her name was?

Betty

500

72 inches... 84 inches... 96 inches...

My song might have a different unit of measurement

Lil Wyane