Number Sets
Multiplication/Division of Like Bases
Product to a Power
Quotient to a Power
Multiple Properties
100
Pi is a member of this number set.
irrational numbers
100
x^3 * x^4
x^7
100
(3a^2)^3
27a^6
100
(x/y^3)^2
x^2/y^6
100
(2hj^2k^-2 * h^4j^-1k^4)^0/2h^-3j^-4k^-2
h^3j^4k^2/2
200
This number is a member of whole numbers but not a member of natural numbers.
zero
200
(k^4)/k
k^3
200
(x^2y^2)^2
(x^4)(y^4)
200
(3m^3/2n)^4
81m^12/16n^4
200
2x^2y^4 * 4x^2y^4 *3x/3x^-3y^2
8x^8y^6
300
The square root of .25 belongs to these number sets.
What is rational and real numbers?
300
(11x^3)(y) *(12x^5)(y^2)
(132x^8)(y^3)
300
(2x^4y^4)^3
(8x^12)(y^12)
300
(10p^4/6m)^2
25p^8/9m^2
300
2m^-4/(2m^-4)^3
m^8/4
400
Repeating decimals and terminating decimals are part of this number set.
rational numbers
400
(8x^3)/(10x^5)
4/(5x^2)
400
(4n^3 * n^2)^2
16n^10
400
(3u^4/2u^7v^5)^3
27/8u^9v^15
400
(2x^3z^2)^3/x^3y^4z^2 * x^-4z^3
8x^10z/y^4
500
The square root of 60 divided by 12 is this type of number.
irrational number
500
(4y^4)(x)/(14y)(x^8)
(2y^3)/(7x^7)
500
(3x * 4xy^2)^2
(144x^4)(y^4)
500
(6yx^4/9x^8y^2)^2
36/81x^8y^2
500
(2pm-1q^0)^-4 * 2m^-1p^3/2pq^2
m^3/16q^2p^2