Exponent Rules

Product Rule

100

x^3 * x^6

x^9

200

2x^5 * x^7

2x^12

300

(8r^5)(2r^-7)

16/r^2

400

(4xf^8)(6xf^4)

24x^2f^12

500

(7s^5p^3)(3s^6p^-5)

(21s^11)/p^2

Power Rule

100

(x^4)^5

x^20

200

4(y^3)^2

4y^6

300

(4w^5)^2

16w^10

400

(-3x^2y^-3)^6

(729x^6)/y^18

500

(8w^3y^7)^0

1

Quotient Rule

100

x^7/x^3

x^4

200

(2x^6)/(x^5)

2x

300

u^2/u^9

1/(u^7)

400

(8x^10y^3)/(4x^3y^5)

(2x^7)/(y^2)

500

(4m^4y^7)/(8m^8y)

y^6/(2m^4)

Negative Exponent Rule

100

Any number to the Zero power is? ___________

The base cannot be 0

What is 1

200

4x^-9

4/(x^9)

300

(v^5)^-8

1/(v^40)

400

(3x^-8)(6x^4)

18/(x^4)

500

(6a^2 * 3a^-6)/(9y^-5)

(2y^5)/a^4

Fractional Exponents

100

(5x^1/6)( 2x^1/3)

What is 

10x^1/2

200

(5x^1/2y^1/4)²

25xy^1/2

300

2(x^(1/3)y)^6

What is 

2x^(2)y^6

400

(y^(3/4)x^(2/3))/(y^(1/4)x)

y^(1/2)/x^(1/3)

500

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

(x^(4))/(y^8)

Distributive Property and Polynomials

100

Simplify

2x(3x-4)

What is 

6x^2-8x

200

Solve the inequality.

(2x^2+5x-1)+(3x^2-2x+4)

What is 

5x^2+3x+3

300

2 (x^2-3)-5x(x+1)

-3x^2-4

400

Simplify the expression.

-4w(3w-8)-2(w^2+4w)

What is 

-14w^2+24w

500

Simplify the expression.

3m(-5m+8)-(m^2-12m)

What is 

-16m^2+36m