Unit 9 Review Exponents and Radicals

Random Christmas Trivia

100

Santa Clause's first name?

What is Nick or Nicolas?

200

The name of the main character in the movie "elf"?

Who is Buddy?

300

Name the 8 reindeer for Santa (excluding Rudolph).

Who is Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, and Blitzen?

400

What is the name of the head elf in The Santa Clause?

Who is Bernard?

500

What is the name of Rudolph's elf friend in the movie?

Who is Hermey?

Simplifying Radicals

100

Simplify.

sqrt50

5sqrt2

200

Simplify. 

sqrt(48)

4sqrt3

300

Simplify. 

-5sqrt27

-15sqrt3

400

Simplify. 

sqrt(150)

5sqrt6

500

Simplify. 

sqrt450

15sqrt2

Adding Radicals

100

Add. 

5sqrt7+8sqrt7

13sqrt7

200

Add.

3sqrt5+4sqrt3+sqrt5

4sqrt5+4sqrt3

300

Add.

5sqrt2+sqrt8

7sqrt2

400

Add.

sqrt98+sqrt32

11sqrt2

500

Add. 

3sqrt75+4sqrt12

23sqrt3

Multiplying Radicals

100

Subtract.

sqrt6*-6sqrt6

-36

200

Subtract.

-4sqrt6*-2sqrt3

24sqrt2

300

Subtract.

root(3)(24)*root(3)(25)

2root(3)(75)

400

Subtract.

8sqrt8*sqrt100

160sqrt2

500

sqrt3*4sqrt12

24

Exponent Rules

100

Simplify

(-5xy^7)^0

 

1

200

Simplify

x^5/x^-3

x^8

300

Simplify

(3a^3b^4c^5)^2

9a^6b^8c^10

400

Simplify

(25a^3b^7)/(5a^3b^2)

5b^5

500

Simplify

-6xy^4(3y^10)

-18xy14