Exponent Rules and Polynomials

Multiply

100

Simplify: 

x^2x^3

x^5

200

Simplify: 

3y^4x^3y^2

3x^3y^6

300

Simplify:

4x^3*5x^2

20x^5

400

Simplify:

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

-6x^5y^5z

500

Simplify:

(-5x^2)(5x^-2)

-25

600

Simplify:

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

(-6x^2)/y^2

Divide

100

Simplify:

x^8/x^3

x^5

200

Simplify:

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

xy^2

300

Simplify:

(2x^2y^4)/(8x^5y^5)

(1)/(4x^3y)

400

Simplify:

(10x^3)(y^6)(2x^7)^-1(y^-2)

(5y^4)/x^4

500

Simplify: 

(-5x^-5y^2z)/(25xy^7z^-3)

(-1z^4)/(5x^6y^5)

600

Simplify:

(4x^-2)/(8x^-6)

(x^4)/2

Power to Power

100

Simplify:

(4x^3)^2

16x^6

200

Simplify:

(3x^2y^4)^3

27x^6y^12

300

Simplify:

2(4x^2yz^3)^2

32x^4y^2z^6

400

Simplify:

(25x^15)^0(3x)^3

27x^3

500

Simplify:

(x^3y^4)^3*(3xy^2)^-2

(x^7y^8)/9

600

Simplify:

(10x^-2y^-2)^-3(5x^2y^2)^0

(x^6y^6)/1000

Adding & Subtracting Polynomials

100

Simplify:

(4x^2+4)+(19x^2-7)

23x^2-3

200

Simplify:

(13x^2y-2x+1)+(9x^2y-7)

22x^2y-2x-6

300

Simplify:

(-x^3+8x^2-5)+(10x^3-x^2+1)

9x^3+7x^2-4

400

Simplify:

(3x+2)-(11x-6)

-8x+8

500

Simplify:

(x^2-x+4)-(x^2+x-2)

-2x+6

600

Simplify:

(2x^2+5)-3(x^2 - 1)+(x^2-8)

0

Multiplying Polynomials

100

Simplify: 

-3x(2x^2+4)

-6x^3-12x

200

Simplify:

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

-4x^5+12x^4-8x^3+4x^2

300

Simplify:

(4x-1)(3x + 7)

12x^2-18x - 7

400

Simplify:

(7x+4)^2

49x^2+56x+16

500

Simplify:

(2x-5)(3x^2-x+6)

6x^3-17x^2+17x-30

600

Simplify:

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

4x^3+8x^2-32x+20