Laws of Exponents Jeopardy

Product of Powers

100

What operation (addition, subtraction, multiplication, or division)do you use on the exponents to solve using laws of exponents? 

x² · x⁵

Addition

200

Simplify: d¹⁰ · d⁸ =

d¹⁸

300

Simplify: (x⁴y³)(x²)

x⁶y³

400

Simplify: (6b¹²c)(3b^-2c)

18b¹⁰c²

500

Simplify: 

(2x⁶y^-8z^-4)(3x^-42y¹⁰z⁹)

12x²y²z⁵

Powers of a Power

100

What operation (addition, subtraction, multiplication, or division) do you use on the exponents to solve using laws of exponents?

(x³)⁴

Multiplication

200

Simplify using Laws of Exponents: (5³x⁷)⁵

5¹⁵x³⁵

300

Simplify using Laws of Exponents: (6⁸x)⁴

6^32x^4

400

Simplify using Laws of Exponents: (6x⁴y¹¹z²)³

 

6³x¹²y³³z⁶

  

500

Simplify using Laws of Exponents: 

(4^-7p^-53^-2q^-3r^-1)^-10

4⁷⁰p⁵⁰3²⁰q³⁰r¹⁰

Quotient of Powers

100

What operation (addition, subtraction, multiplication, or division) do you use on the exponents to solve using laws of exponents?

x^3 / x^2

Division

200

Simplify using Laws of Exponents:

x^9 / x^5

x⁴

300

Simplify using Laws of Exponents: 

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

xy

400

Simplify using Laws of Exponents: 

(4x^9)/ (2x^5)

2x⁴    

500

Simplify using Laws of Exponents:

((r^10)(y^-2)(z^4))/((r^-5)(y^-3)(z^-7))

r¹⁵yz¹¹

Combination **DOUBLE POINTS**

100

**DOUBLE POINTS**

Simplify using Laws of Exponents:

w^4*(w^2)^3

w^10

200

**DOUBLE POINTS**

Simplify using Laws of Exponents: 

((x^9)/(x^5))^2

x⁸

300

**DOUBLE POINTS**

Simplify using Laws of Exponents: 

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

x^10

400

**DOUBLE POINTS**

Simplify using Laws of Exponents: 

((x^6y^(-2))/(x^(-2)y^-4))^3

x^(24)y^6

500

**DOUBLE POINTS**

Simplify using Laws of Exponents: 

(5^2a^2)/(5^2a^4)^-3

5^8a^14