Exponents/Roots

Multiplying

200

_x² (x⁵)

x⁷

400

(3x⁵) (6x^-2)

18x³

600

(2x⁴y^-3z) (-4x^-1y⁸z)

-8x³y⁵z²

800

(4x⁷y^-2)(-5x³y)

-20x¹⁰ ÷  y

1000

((3/4)x^-2y^-4) (2x³y^-6)

3x

2y¹⁰

Powers

200

Write as a whole number:  (2²)³

32

400

(x⁶y²)⁴

x²⁴y⁸

600

(6x)^-2

1

36x²

800

((6x⁸y²) ÷  (12x³y⁷))²

x¹⁰ ÷  9y¹⁰

1000

(3 ÷ x)^-2

x² ÷  9

Rational Exponents

200

Rewrite:   x^1/2

square root of x

400

8^1/3

2

600

Wildcard: Who was the first basketball player to appear on a box of cereal?

Michael Jordan

800

Rewrite 4(x^3/2)

4 times the cube root of x squared

1000

(16x²)^3/2

64x³

Dividing

200

4x⁴ ÷ 2x²

2x²

400

Wildcard: What plant does vanilla flavor come from?

orchid

600

4x²y⁵ ÷ 3xy³z 

2xy² ÷  z

800

5x³y^-2z⁵

3xy^-4z^-9

5x²y⁶

3z⁴

1000

(3 x y^-2 z⁷) ÷  (x⁴ y^-5 z²)

(3y⁷z⁵) ÷  (x³)

Equations

200

x²=4

x = 2, -2

400

x² - 5 = 20

x = 5, -5

600

Wildcard: Which company owns Lamborghini, Ducati, Porsche, Audi and Bugatti?

Volkswagon

800

2x² + 4 = 12

x = 2

1000

(3 radical x + 4) ÷ 2 = 8

x = 16