Exponent Rules

Product Rule

100

-x^-3 * x^6 * 4x

-4x^4

200

-2x^5 * 6x^7

-12x^12

300

Find the volume of a rectangular prism that has a length of 4f³, a width of 6f⁴, and a height of .5f^-9

12/f²

400

1/2(2^4*x^2*y^-3)(6x^-4*y^5)

(48y^2)/x^2

500

(-2/3a^(-1/2)p^-3)(36a^(-3/2)p^5)

-24p² / a²

Power Rule

100

(x^4)^5

x^20

200

(4y^3z^-.5)^-2

z/(16y^6)

300

(-5xy)^3

-125x^3y^3

400

(x^(2/3)*x^(4/6))^-3

1/x^4

500

((8x^4y^7)/(3x^-3y^2))^-2

9/64x¹⁴y¹⁰

Quotient Rule

100

(-11x^7)/(77x^3)

-x^4/7

200

(5r^6p^-5)/(1.25r^5p-1)

4r/p⁴

300

(-12x^10*m^2*n^-4)/(-15x^3*n^-8)

(4x^7*m^2*n^4)/5

400

If the area of a rectangle is 16a¹⁰b⁹ and its width is 8ab⁸, what is the length of the rectangle? 

2a⁹b

500

(z^m * z^n)/(z^p)

z^m+n-p

Negative & Zero Rule

100

x^-8

1/x^8

200

(81^(-1/2))/(x^9)

1/(9x^9)

300

((3x^-8)/(2^-1x^-4))^-3

x^12/216

400

(49^(-1/2)*v^-5)/(v^5)^0

1/(7v^5)

500

Why is 4³/4³ equal to 1?

BC 64/64 = 1!!!

or BC 3-3=0 and anything to zero power = 1!

Pop Culture

100

What TV show has "winter coming" and features dragons and white walkers?

Game of Thrones 

200

"She's got a smile, it seems to me, reminds me of childhood memories" 

Who sings these lyrics? 

Guns N' Roses

300

Which rapper lady just had a baby and is from the Bronx? 

Cardi B

400

Who is currently the world's highest paid soccer player?

Messi

500

This youtube personality is considered the most famous vlogger currently. 

PewDiePie