Exponents and Probability

Multiplying Powers

100

8¹(8⁹)

8¹⁰

200

7^-3(7⁵)

7²

300

5^-5(5^-9)

5^-14 or 

1/(5^14)

400

6x²(3x⁷)

18x⁹

500

5³(4³)

20³

Dividing Powers

100

6^4/(6^2)

6²

200

8^5/(8^-2)

8⁷

300

(x^-2)/(x^6)

x^-8 or 

1/(x^8)

400

(12y^9)/(3y^3)

4y⁶

500

27^5/9^5

3⁵

Exponents of Powers

100

(4^3)^8

4²⁴

200

(4^-7)^-2

4¹⁴

300

(x^-3)^6

x^-18 or 

1/(x^18)

400

(2^3x^4)^2

2⁶x⁸

500

(6^-2y^5)^3

6^-6y¹⁵ or 

y^15/6^6

Probability 1

100

A number cube is rolled. Find the probability of not rolling a 2 or a 3

4/6

200

The letters of the word peterson are placed in a bag. What is the likelihood of selecting a vowel?

Unlikely

300

3 out of every 10 students ride the bus to school. How many students out of 120 students ride the bus?

36

400

The type of probability where the outcome is predicted mathematically

Theoretical

500

A bag contains 9 blue marbles and 3 red marbles. What is the probability of selecting a blue marble first and then a red marble without replacement?

27/132 or 9/44

Probability 2

100

How many possible outcomes are there if you can have apple, peach or cherry pie with milk, juice or tea?

9

200

It rained for 5 out of 14 days in a city in Florida. Approximately how many days will it rain out of 56?

20

300

The type of probability where the outcome results from repeated trials

Experimental

400

A letter card A through H is chosen, and a number cube is rolled. Find the probability of choosing a C and then rolling less than a 3.

2/48 or 1/24

500

A bag contains 9 blue marbles and 3 red marbles. What is the probability of selecting 3 red marbles?

6/1320 or 1/220