Exponent Rules
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Solve:
-3x(x-5)=0
x = 0, x = 5
Add the following polynomials. Write your final answer in standard form.
(4x^2+4)+(19x^2-7)
23x^2-3
Multiply the polynomials. Write your final answer in standard form.
-3x(2x^2+4)
-6x^3-12x
Determine the perimeter of a square with a side length of 4x
16x
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
Solve
3x^2-12x=0
x = 0, x = 4
Add the following polynomials. Write your final answer in standard form.
(13x^2y-2x+1)+(9x^2y-7)
22x^2y-2x-6
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)
54x^2+24x+2
Determine the area of a square with a side length of (2x+3)
4x2+12x+9
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
Solve:
4x(x-3)^2(2x+5)=0
x = 0, x = 3, x = -2.5
Add the following polynomials. Write your final answer in standard form.
(-x^3+8x^2-5)+(10x^3-x^2+1)
9x^3+7x^2-4
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
Determine the area of a rectangle with a length of (2x+1) and a width of 4x
8x2+4x
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8x^5y^5)
(1)/(4x^3y)
Solve
3x^2=21x
x = 0, x = 7
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x-4)
49x^2-16
Calculate the distance traveled if a car is traveling at (20x-3) mph for a total of (x+2) hours.
20x2+37x-6 miles
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
Solve:
-4x=18x^2
x = 0, x = -4.5
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30
What is the volume of a box with a lenght of 2x feet, width of 5x feet and a height of (x+2) feet?
10x3+20x2 ft3