Exponents/Product Rule/Quotient Rule

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

10abc * b³ * 5c⁴ *a²b²c⁴

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

50a³b⁶c⁹

Quotient Rule

100

x^5/x^2

x³

200

(2x^3)/(4x)

x^2/2

300

(8x^3y^3z^2)/(4x^2y^2z)

2xyz

400

(6x^7y^2z^8)/(18x^6yz^3)

(xyz^5)/3

500

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

1/(x^2y)

Product and Quotient Rule

100

(x^2x^4)/x^3

x^3

200

((x^3y^2)(xy^5))/(x^2y)

x^2y^6

300

(2xy^4*3xy)/(x^2y^5)

6

400

(x^7y)/(4x*3y

x^6/12

500

(12x^12y^3z*xyz^8)/(6x^12z*3y^2z^12

(2xy^2)/(3z^4)

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

You must __________ the whole numbers before working with the variables in this example: 

2a³ * 3a⁴

Multiply