Exponent Rules

Multiply Monomials

100

a^4*a^2

a^6

200

3x*5x

15x^2

300

w^5*w^-7*w

1/w

400

(2xy)(5x^8y^3)

10x^9y^4

500

2/3a^-2b^-1*-18a^-3b

-12/a^5

Divide Monomials

100

a^12/a^2

a^10

200

(8x^2)/(x^-10)

8x^12

300

(63x^18)/(9x^2)

7x^16

400

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

b^6/a^7

500

(6c^-1d^-3)/(15c^2d^-11)

(2d^8)/(5c^3)

Powers of Monomials

100

(x^2)^12

x^24

200

(c^-5)^3

1/c^15

300

(cd^2)^4

c^4d^8

400

(5x^3)^3

125x^9

500

(4x^11y^-4)^-4

y^16/(256x^44)

Adding & Subtracting Polynomials

100

(3a+6)+(6a+7)

9a+13

200

(4n-6)-(3n+2)

n-8

300

(4x+7)-(8-3x)

7x-1

400

(x^2+7x-6)+(x^2+6x+3)

2x^2+13x-3

500

-2(x-7)-(8x+11)

-10x+3