Properties of Exponents Jeopardy

Multiplying and Dividing

100

What is the value of:
 3*3^6*3^2 in exponential form?

3⁹

200

Simplify using Properties of Exponents:  

2^15/2^8

2⁷

300

Simplify using Properties of Exponents: 

3x^4*2x^6

6x^10

400

Simplify using Properties of Exponents: 

(16y^7)/(4y^3)

4y^4

500

Simplify using Properties of Exponents: 

(8x^4*x^10)/x^14

8x^0=8

Power of a Power

100

Simplify using Properties of Exponents: (x²)⁵

x¹⁰

200

Simplify using Properties of Exponents: (5³)⁵

5¹⁵

300

Simplify using Properties of Exponents: 

(2a^6)^4

2^4a^24 or 16a^24

400

Simplify using Properties of Exponents: 

(x^-3)^-2

x^6

500

What is the value of a if...

(x^3)^a=x^18

a = 6

Evaluate (answers do not have exponents)

100

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

5²=25

200

Evaluate using Properties of Exponents: 

(-3)^4

81

300

Evaluate using Properties of Exponents: 

(2/3)²

4/9

400

Evaluate using Properties of Exponents: 

5^-2

1/25

500

Evaluate: 

-7^2

-49

Law of Exponents

100

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

    (example) 9⁰

1

200

The quotient rule states you keep the base and do what with the exponents?

Subtract the exponents

300

Write an example problem where you would multiple the exponents.

Answers should be written in 

(x^m)^n 

400

When using the product rule, you keep the base and do what with the exponents?

Add the exponents

500

When you have a fraction raised to a power, what rule is that? 

(a/b)^m

The Power of a Quotient Rule

Scientific Notation

100

Convert to standard notation: 4.7 X 10^4

47,000

200

Convert to standard notation: 5.6 X 10^-4

0.00056

300

Convert to scientific notation: 8,000,000

8 X 10^6

400

Convert to scientific notation: 0.000000734

7.34*10^-7

500

What is the value of k in the equation below?

6*10^k=0.0006

k = -4

Rational/Irrational numbers

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

True or False:

sqrt64

 is a rational number.

If true, prove it. If false - state why.

8 is rational 

400

True or False: All rational numbers are integers

If not, give a counter example

False, 1/2 is rational, but not an integer.

500

Is

sqrt88

  rational? If so, prove it. If not, state why.

No, it is irrational - non perfect square