The Rules of Exponents
Operations with Polynomials
Dividing a Polynomial
BONUS
100
Which property is being used in the example below?
(33)2= 33x2=36
Power of a Power
100
12x4y2/2xy5
6x3/y3
100
x6+7x5-5x4÷ x2
x4+7x3-5x2
100
2+2+2+2+2+2+2+2×4-1
7
200
Which property is being used in the example below?
9x6 y-5/3x3 y4= 3x6-3/y4+5= 3x3/y9
Quotient of Powers
200
2a(4b+5)
8ab+10a
200
(c2+2c-6) ÷ (c+5)
c − 3 : + 11/c+5
200
6x4y3 + 12x3y2 - 18x2y ÷ 3xy
2x3y2 + 4x2y - 6x
300
Which property is being used in the example below?
x-2 y3/y-4= y3+4/x3= y7/x3
Negative exponent
300
10x2y3(10xy3)
100x3y6
300
( 12x3 - 7x2 + 4x - 3) ÷ (3x - 1 )
4x2 - x + 1 : -2/3x-1
300
400
3x2 * 4x5= 12x7
Power of a Product
400
(5d+5)-(d+1)
4d+4
400
( 4x3 - 2x2 - 3) ÷ (2x2 - 1)
2x - 1 : 2x - 4 / 2x2 - 1
400
(3x + 2y – 4z ) + (45x – y + 75z)
48x + y + 71z
500
Which property is being used in the example below?
(7x)0=1
Zero Power
500
-20(m2v)(-v3)/5(-v)2(-m4)
4v2/m2
500
( 6z4 + 3z2 - 9 ) (3z2 - 6 ) -1
2z2+0z : 15z2 / 3z2 - 6