Laws of Exponents Jeopardy

Multiplying and Dividing

100

Simplify using Laws of Exponents: c · c⁵

c⁶

200

Simplify using Laws of Exponents: b¹² / b⁸

b⁴

300

Simplify using Laws of Exponents: (6b¹²) (3b²)

18b¹⁴

400

Simplify using Laws of Exponents: -8r¹⁰/2r⁵

-4r¹⁰

500

Simplify using Laws of Exponents: (-9r⁰s)(-3s²)

27s³

Powers of a Power

100

Simplify using Laws of Exponents: (3²)⁵

3¹⁰

200

Simplify using Laws of Exponents: (5³)⁵

5¹⁵

300

Simplify using Laws of Exponents: (2x⁴)³

8x¹²

400

Simplify using Laws of Exponents: (6⁸)⁴

6³²

500

Simplify using Laws of Exponents: (-10p²)²

100p⁴

Evaluate Roots

100

square root of 81

+-9

200

cube root of 8

2

300

cube root of -125

-5

400

square root of -25

no solution

500

square root of 49x²

7x

Rational Exponents

100

Write in rational exponent form (square root of 25)

25^(1/2)

200

Write in rational exponent form (cube root of 8)

8^(1/3)

300

Write in radical form 36^(1/2)

square root of 36

400

Write in radical form 100^(3/2)

(square root of 100)³

500

Write in radical form 100^(-1/2)

1/(square root of 100)

Simplify Powers

100

Simplify this power by finding the factors:

√45 

√3*3*5

3√5

200

Simplify this power using factoring:

√72

√3*3*2*2*2

3*2√2

6√2

300

Unsimplify this radical:

5√3

√5*5*3

√25*3

√75

400

Unsimplify this radical:

4√6

√4*4*6

√16*6

√96

500

Simplify the following cube root:

³√81

³√3*3*3*3

3³√3