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

nth Roots

100

Find the nth real roots of a.

n=4                 a=16

+2 , -2

200

Find the nth real roots of a.

n=4                a=81

+4, -4

300

Find the nth real roots of a.

n=10                 a=1024

+2 or -2

400

Find the nth real roots of a.

n=5                 a=-243

-3

500

Find the nth real roots of a.

n=2                 a=-25

No real roots.

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 arational 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