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: (3²)⁵

3¹⁰

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

Law of Exponents

100

What is any number raised to the 0 power equal to?

    (example) 9⁰

1

200

Which law for exponents says that when dividing powers with the same base, you can subtract the exponents?

The Quotient of Powers Property

300

Which law of exponents requires the multiplication of exponents?

The Power of a Power Property

400

What law do you use when you rewrite base and exponent as a fraction with 1 in the numerator and a positive exponent in the denominator?

The Negative Exponent Property

500

Which law of exponents fits the example shown below?

(6 x 2)⁴ = 6⁴ x 2⁴

The Power of a Product Property

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