Exponent Properties

Product Rule

100

Simplify:

x²(x⁴)

x⁶

200

Simplify:

(2x²y)(4x⁵y²)

8x⁷y³

300

Simplify:

(2x²y³)(4x²y-^-2)(3y³)

24x⁴y⁴

400

Simplify:

(3x^-4y²)(2x⁷y⁰)(xy^-4)

6x⁴/y²

500

Frankie wants to paint one wall in 

her room. Her parent tell her she 

must calculate the area in order for 

them to buy the paint. The width 

is 4x³y⁵z⁰ and the length is 6x⁴y^-3.

24x⁷y²

Quotient Rule

100

Simplify:

x⁵/x²

x³

200

Simplify:

6x²/3x⁷

2/x⁵

300

Simplify:

(15x²y⁰)/(5x^-5y²)

3x⁷/y²

400

Simplify:

6x³y^-4/18x^-4y^-2

x⁷/3y²

500

Simplify:

(4x²y^-2x^-2/2³x^-3y)²

x⁶/4y⁶

Power Rule

100

(x³)⁴

x¹²

200

Simplify:

(3x²y³)²

9x⁴y⁶

300

Simplify:

(4x^-2y³)^-2

x⁴/16y^y

400

Simplify:

((3x²y²)(x³y))³

27x¹⁵y⁹

500

(4x²/3y^-5)³

64x⁶y¹⁵/27

Mixed Bag

100

5x⁰

5

200

1/x^-3

x³

300

(x²/y³)^-2

y⁶/x⁴

400

Simplify:

(5xy^-4)⁰(5x^-2y³)^-2

x⁴/25y⁶

500

Simplify:

(2x²y^-3/4x²y²)^-3

8y¹⁵

Final Jeopardy

100

Simplify:

((4x^-4y^-2)²/2x^-3y)^-2

x⁵y⁵/64