Exponents/Product Rule/Quotient Rule

Product Rule

100

x³ * x⁵

x⁸

200

a³ * a⁵ * a⁹

a¹⁷

300

3*b³ * b⁷

3b¹⁰

400

-2a³b² * 3a²b⁶

-6a⁵b⁸

500

5*10*abc * b³ * c⁴ *a²b²c⁴

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

50a³b⁶c⁹

Power to a Power

100

(4^3)2

4^6

200

(10a)^2

10^2a^2

DOUBLE POINTS IF 100a^2

300

(2a^2)6

2^6a^12

DOUBLEPOINTS IF 64a^12

400

(3x^3 y^6) ³  

3^3 x^9 y^18

DOUBLE POINTS IF 

27x^9 y^18

500

(2a b^3 c^9)^4

2^4 a^4 b^12 c^36

DOUBLE POINTS IF 

16a^4b^12 c^36

Quotient Rule

100

x^5/x^2

x³

200

(2x^3)/(4x)

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 you are raising a power to a power what is the rule? 

You must ________ the exponents for every _____ inside the parenthesis. 

You must MULIPLY  the exponents for every BASE inside the parenthesis 

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)