Exponent Rules (Product, Power, Quotient)
Use the product rule for exponents to multiply: 4x3⋅5x2
20x5
Use the zero exponent rule to simplify:
-9x0
-9
Add the following polynomials, write your answer in standard form.
(4x2+4)+(19x2-7)
23x2-3
Multiply the polynomials and write your answer in standard form:
-3x(2x2+4)
-6x3-12x
Determine the degree of the following polynomial:
-3x2+5x-1
2
Use the quotient rule for exponents to divide:
(x2y5) / (xy3)
xy2
Rewrite using positive exponents:
(x-1) / (x-8)
x7
Add the following polynomials and write your answer in standard form:
(13x2y-2x+1)+(9x2y-7)
22x2y-2x-6
Multiply the polynomials and write your answer in standard form:
(9x+1)(6x+2)
54x2+24x+2
Is the following a monomial, a binomial, or a trinomial?
2xy-3x2y
Binomial
Use the power rule to simplify:
(4x2yz3)4
256x8y4z12
Use the zero exponent rule to simplify:
(-9x2y)0
1
Add the following polynomials and write your answer in standard form:
(-x3+8x2-5)+(10x3-x2+1)
9x3-7x2-4
Multiply the polynomials and write your answer in standard form:
(9x2-3x)3x
27x3 - 9x2
How many terms are in the following polynomial?
3x-2xy2-5+y2
4
Use the product rule to multiply:
(2ab2c2)(4a3b5c7)
8a4b7c9
Simplify:
(2x2y4) / (8x5y5)
1 / (4x3y)
Subtract the following polynomials and write your answer in standard form:
(3x+2)-(11x-6)
-8x+8
Multiply the polynomials and write your answer in standard form:
-5c2(15c-4c)
-55c3
Rewrite the polynomial in standard form:
4x-7+3x4-6x2+8x6
8x6+3x4-6x2+4x-7
Use exponent rules to simplify:
(x3y4)3 ⋅ (3xy2)2
9x11y16
Rewrite using only positive exponents:
(a-2b3) / (c-4d-1)
(b3c4d)/a2
Subtract the following polynomials and write your answer in standard form:
(3x2-7x+4)-(x2+x-2)
2x2-8x+6
Multiply the polynomials and write your answer in standard form:
(-16x2+8x3+2x) (2x+1)
16x4 - 24x3 - 12x2 + 2x
Write a cubic binomial with a term to the zeroth power.
Will vary
Example: x3 - 9