Exponents & Square Roots

Product, Quotient, and Power Rule

100

Simplify the following. 

a*a^2*a^3

a^6

200

Simplify the following. 

x^3/x

x^2

300

Simplify the following. 

(2x^2y^3)^2

4x^4y^6

400

Simplify the following. 

(3x^3 )(3x^4 )(-3x^2 )

-27x^9

500

Simplify the following. 

(-48c^2d^4)/(-8cd)

6cd^3

Simplifying Exponents

100

Simplify the following. 

8x^0

8

200

Simplify the following. 

(a^5)^-1

1/(a^5)

300

Simplify the following. 

s^-2*4s^7

4s^5

400

Simplify the following. 

(3x^-2y^3)^-4

(x^8)/(81y^12)

500

Simplify the following. 

((36a^5)/(4a^4b^5))^-2

b^10/(81a^2)

Squares and Square Roots

100

What is 5²?

25

200

What is 

sqrt(169)

13

300

What is (8.5)² ?

72.25

400

What is 

sqrt(784)

28

500

What is 15.4²?

237.16

Solving Square Root Equations

100

Solve the following 

sqrt(x) = 7

x = 49

200

Solve 

sqrt(x -3) = 13

x = 172

300

Solve 

2sqrt(3x) = 18

x = 27

400

Solve 

sqrt(2x-5) + 4 = 7

x = 7

500

Solve 

3 + sqrt(2x - 3) = 8

x = 14

Negative Exponents

100

Simplify 

2^-1

1/2

200

Simplify 

(5x)^-2

1/(25x^2)

300

Simplify 

x^7y^4 * x^-5y^-1

x^2y^3

400

Simplify the following 

(-3x^-4)^-3/y^-2

(x^12y^2)/-27

500

Simplify the following 

(2xy^-2z^3)^-3

(y^6)/(8x^3z^9)