Exponent and Radicals Review

Exponent Rules I

100

Simplify

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

81a^16b^20c^4

200

Simplify

(7a^4b)(8a^7b^6)

56a^11b^7

300

Which expression is equivalent to

((3^2)^4)^3

  

a. 9^6

b. 81^6

c. 27^12

d. 9^9

B

400

Simplify 

3a^0

3

500

Simplify

(3a^4b^2)^2(2a^3bc^2)^3

72a^17b^7c^6

Exponent Rules II

100

Simplify 

x^3y^0z^-2

x^3/z^2

200

Simplify 

(x^6y^2)/(x^3y)

x^3y

300

Simplify 

(a^4b^3)/(a^7b)

b^2/a^3

400

Simplify 

((-a)^3b^4)/(a^3b^6)

-1/b^2

500

(x⁸y²z³)⁴

x³²y⁸z¹²

FACTS

100

What is the only letter in the alphabet that does not appear in any US State name? 

Q

200

True or False: Identical twins have the same finger prints.

False!

300

How long did the world's oldest dog live for? 

29.5 years

400

Golf balls were originally stuffed with what material? 

Bird feathers

500

On Earth a full day is 24 hours. How long is a full day on Jupiter? 

10 hours.

Simplify Radicals

100

Simplify.

sqrt(4)

2

200

Simplify. Assume all variables are positive.

sqrt(28a^2)

2asqrt7

300

Simplify.

sqrt(300a^3)

10asqrt(3a)

400

Simplify. Assume all variables are positive.

sqrt(81g^2h^5)

9gh^2sqrth

500

Simplify. Assume all variables are positive.

sqrt(40x^4y^6)

2x^2y^3sqrt10

Add and Subtract Radicals

100

Simplify.

7sqrt2 - 2sqrt 2

5sqrt2

200

12sqrtr-9sqrtr

3sqrtr

300

Simplify.

9sqrt(6a)-11sqrt(6a)+4sqrt(6a)

2sqrt(6a)

400

Simplify.

5sqrt8+2sqrt20-sqrt8

8sqrt2+4sqrt5

500

Simplify.

sqrt52+sqrt32-5sqrt13+sqrt2

5sqrt2-3sqrt13

Multiply and Divide Radicals

100

Simplify.

4sqrt8+4sqrt28

8sqrt2+8sqrt7

200

Simplify.

(2sqrt3)(3sqrt15)

18sqrt5

300

Simplify.

sqrt(45)/sqrt(9)

sqrt5

400

Simplify.

sqrt(36)/6

1

500

Simplify.

sqrt(72/8)

3