Product Rule
Quotient Rule
Power Rule
Mixed Exponent Rules
Classifying & Adding/Subtracting Polynomials
Multiplying/Dividing Polynomials
Mixed Polynomials
100
Simplify with only positive exponents:
x^8*x^-3
x^5
100
Simplify with only positive exponents:
a^12/a^4
a^8
100
Simplify with only positive exponents:
(x^9)^3
x^27
100
Simplify with only positive exponents:
(36m^25n^14)/(4m^7n^5)^3
(9m^4)/(16n)
100
Classify the expression below by degree and number of terms.
2x^4-x+5
Fourth degree trinomial
100
Simplify the expression below. Answers should be in standard form.
3xy(5x^2+2xy+3y^2)
15x^3y+6x^2y^2+9xy^3
100
Simplify the expression below. Answers should be in standard form.
5w(4w^2-2w)+3w(-2w^2+4w)
14w^3+2w^2
200
Simplify with only positive exponents:
5x^4*7x^3
35x^7
200
Simplify with only positive exponents:
x^5/x^12
1/x^7
200
Simplify with only positive exponents:
(cd^2)^4
c^4d^8
200
Simplify with only positive exponents:
((2x^4y^2)/(4x^2y))^3
(x^6y^3)/8
200
Classify the expression below by degree and number of terms:
3x
First degree monomial
200
Simplify the expression below. Answers should be in standard form.
(a+2)(3a-1)
3a^2+5a-2
200
Write the expression that would represent the area of the shaded region.
x^2-10
300
Simplify with only positive exponents:
(-9k^3)(2k^-8)
-18/k^5
300
Simplify with only positive exponents:
(m^-2n^16)/(m^4n^2)
n^14/m^6
300
Simplify with only positive exponents:
(m^-2n^8)^3
n^24/m^6
300
Simplify with only positive exponents:
(mn^3)/(m^4*(2mn^4)^2)
1/(4m^5n^5)
300
Simplify the expression below. Answer should be in standard form.
(2x^2-5x+6)+(5x^2-3x+4)
7x^2-8x+10
300
Simplify the expression below. Answers should be in standard form.
(3x+2)(3x-2)
9x^2-4
300
Simplify the expression below. Answers should be in standard form.
(2y+1)^2-4y^2+2
4y+3
400
Simplify with only positive exponents:
(-7c^-3d)(-4c^8d^-2)
(28c^5)/d
400
Simplify with only positive exponents:
(28xy^-4)/(4x^-5y)
(7x^6)/y^5
400
Simplify with only positive exponents:
(4w^7)^3
64w^21
400
Simplify with only positive exponents:
((3x^2)^2(4y^5)^2)/(8x^3y^4)
18xy^6
400
Simplify the expression below. Answers should be in standard form.
(7y^2-3y)-(4y^2+2y-2)
3y^2-5y+2
400
Simplify the expression below. Answers should be in standard form.
(15a^3b^2-9a^2b+3ab)/(3ab)
5a^2b-3a+1
400
Simplify the expression below. Answers should be in standard form.
4x^2(2x^2y+xy-5y^2)+2x^2y^2
8x^4y+4x^3y-18x^2y^2
500
Write an expression for the area of the figure below in simplest form.
12x^4y^7
500
Simplify with only positive exponents:
(-21x^5yz^0)/(12x^6y)
-7/(4x)
500
Simplify with only positive exponents:
(1/3r^2s^-5)^2
r^4/(9s^10)
500
Simplify with only positive exponents:
(x^2y^-1)^-2/(2x^4y^-4)^4
y^18/(16x^20)
500
The area of the square and the area of the circle are written below. Write an expression to represent the area of the shaded region.
x^2-x+2
500
Simplify the expression below. Answers should be in standard form.
(3+m)(-2m+m^2+2)
m^3+m^2-4m+6
500
Simplify the expression below. Answers should be in standard form.
(x-5)^2-3(x+8)
x^2-13x+1