Properties of Exponents Jeopardy

Multiplying and Dividing

100

What is the value of:
 3*3^6*3^2 

3⁹

200

Simplify using Properties of Exponents: 2¹⁵ / 2⁸

2⁷

300

Simplify using Properties of Exponents: 7²² · 7¹²/7²

7³²

400

Simplify using Properties of Exponents: 5^{25 *}5³ / 5¹³

5¹⁵

500

Simplify using Properties of Exponents: 

6³⁰ / 6²⁰*6⁷*6³

6⁰=1

Power of a Power

100

Simplify using Properties of Exponents: (3⁵)⁰

1

200

Simplify using Properties of Exponents: (5³)⁵

5¹⁵

300

Simplify using Properties of Exponents: (8⁴)³

8¹²

400

Simplify using Properties of Exponents: (6⁸)⁴

6³²

500

Simplify using Properties of Exponents: (9⁵* 9²)¹⁰

9⁷⁰

Evaluate (answers do not have exponents)

100

Evaluate and solve using Properties of Exponents: (5²)¹

5²=25

200

Evaluate using Properties of Exponents: (2¹)^-5

^{(Answer is a fraction)}

1/32

300

Evaluate using Properties of Exponents: 

(Answer is a fraction)

(2/3)²

4/9

400

Evaluate using Properties of Exponents: (Answer is a fraction)

(3/4)³

(27/64)

500

Evaluate using Properties of Exponents: 

27^4/3

27^4*1/3

(27^1/3)⁴

3⁴
​​​​=81

Multiplying and Dividing

100

What is 3^3/2 * 3^1/2

9

200

What is 16^5/3 * 16^7/6

16^17/6

300

What is 4^4/2 * 4^1/3

4^7/3

400

What is 100x^3/2 * 100x^1/2

100x²

500

What is y^3/2 * y^-1/2

y

Rational Exponents

100

is zero a rational number.

true, 0  can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number.

200

is π a rational or irrational number?

irrational

300

Is squared root of 64 a rational number

8 is rational 

400

Is cube root of 125 a rational number

yes, 5 is a rational number

500

Is squared root of 73 a rational number

No, it is irrational