Exponents/Product Rule/Quotient Rule

Expanded Notation

100

Expand 4³

4*4*4

200

Expand  2 ⁵

2*2*2*2*2

300

Expand x⁶

x _* x _* x _* x _*x _*x

400

Expand (2xy)³

(2xy)(2xy)(2xy)

500

Expand (x+4)²

(x+4)(x+4)

Product Rule

100

x³ * x⁵

x⁸

200

a³ * a⁵ * a⁹

a¹⁷

300

3*b³ * b⁷

3b¹⁰

400

-2a³b² * 3a²b⁶

^{(Variables have to go in alphabetical order)}

-6a⁵b⁸

500

5*10*abc * b³ * c⁴ *a²b²c⁴

^{(Variables have to go in alphabetical order)}

50a³b⁶c⁹

Exponents

100

4¹

4

200

5²

25

300

2³

8

400

3³

243

500

10⁴

10,000

Quotient Rule

100

x^5/x^2

x³

200

(2x^3)/(4x)

*You have to simplify the fractional part in your answer*

x^2/2

300

(x^3y)/(xy^2)

x^2/y

400

6^7 / 6^4

*(DOUBLE POINTS IF YOU TELL ME THE EXPANDED FORM)*

*(TRIPLE POINTS IF YOU TELL ME THE EXPANDED FORM AND PRODUCT)*

6³ = 6*6*6 = 216

500

(x^3y^3z^2)/(x^2y^2z)

xyz

Identification

100

What is the exponent in: 7³

3

200

What is the base in: 15⁴

15

300

Whenever you are dividing powers with like bases you ___________ the exponents.

Subtract

400

Whenever you are multiplying powers with like bases you ___________ the exponents.

add

500

If whole numbers AND variables are present when you are working with exponents, you must __________ the whole numbers before working with the variables. 

(Hint: 2a³ * 3a⁴)

Multiply

Vocabulary

100

What is a "Base" (in Exponents) ?

The number you are multiplying (repeatedly or by itself)

200

What is an Exponent (What does it mean?)

How many times you are multiplying the base by itself

300

If a number is squared, it is being raised to the power of ____.

2

400

If a number is cubed, it is being raised to the power of ____.

3

500

Exponential Form is written with a _____ and an _____.

Exponential: Base, Exponent (or Power)