Exponent Rules

Addition and Subtraction

100

17x - 25x

-8x

200

-15a^3bc + 6a^3bc

-9x^3bc

300

2ab + 9ac

2ab + 9ac

400

13w^2+9w+4w^2-31w

17w^2 - 22w

500

subtract 9a from -15a

-24a

Multiplication and Division

100

5x^2*3x^3

15x^5

200

(-36c^2d^5)/(4c^2d^3)

-9d^2

300

(-4a^3b)(3b^5)

-12a^3b^6

400

(4n^5)/(8n)

1/2n^4

500

12y(2/3xy^4)

8xy^5

Exponents

100

(x^2)^5

x^10

200

(cd^2)^3

c^3d^6

300

(5x^7)^2

25x^14

400

(2x^2y)^5

32x^10y^5

500

(1/2a^2b^4c^5)^3

1/8a^6b^8c^10

Mixed Practice (1)

100

19m^8n^8-(4m^5n)(3m^3n^7)

7m^8n^8

200

c^5d^2

c^5d^2

300

a^3*(-a^2b)^4

a^11b^4

400

(2a^2)^3+(a^4)(3a^2)

11a^6

500

(3x^3y)^4-(7x^5y)^2*x^2y^2

32x^12y^4

Mixed Practice (2)

100

(3x^5)^2/(27x^3

1/3x^7

200

((2m^4n^2)/(4m^2n))^3

1/8m^6n^3

300

((2pq)(3p^2q^4))/(-6pq^5)

-p^2

400

((8r^5x^2)(3r^3s^4))/(12rs^4)+9r^7s^2

11r^7s^2

500

((-6x^4y^6)^2)/((-3x^3y^5)^2)-7x^2y^2

-3x^2y^2