# math

posted by viola

1) find the power set of 446
2) find the power of (c,d,e,f,y )
3)if X=(2,4,6,8 )
Y=(3,6,9)
Z=( 1,3,6,8)

1. MathMate

(a) a power set of a set A is a set of all possible subsets of A. Assuming 446 is a single element, or A={446}, then the power set consists of ∅, and {446}. In general, if A has n elements, the cardinality of the power set of A is 2^n, or has 2^n elements.

(b) the power set of {c,d,e,f,y} has 2^5=32 elements, including ∅.
there are
1 set with no elements: ∅
5 sets with one elements:{c},{d}...
10 sets with two elements:{c,d},{c,e},...
10 sets with three elements: {c,d,e}...
5 sets with four elements: {c,d,e,f},...
1 set with 5 elements.
Total=32 sets.

(c) not sure if question is complete.

## Similar Questions

1. ### math

1. unite similar terms with parenthesis. x=2 y=-3 and z=5 find the value of ax to the 2nd power-cy+ax-2ax to the 2nd power+ 2cy to the 2nd power-ax-cy to the 2nd power+ ax to the 2nd power+ cy
2. ### college

let i = the square root of -1 with i to the 1st power =i, i to the 2nd power= -1, i to the 3rd power =-i , i to the 4th power=1 find ito the power 215
3. ### math

find the greatest common factor and simplify your answer. 4v to the 7th power y to the 9th power and 16v to the 6th power x to the 8th power y to the 5th power.
4. ### math

simplify, 4v to the 7th power y to the 9th power and 16v to the 6th power x to the 8th power y to the 5th power.
5. ### math

find the value of a and b , so that 10x to the power 4 + 17x to the power 3 - 62x to the power 2 + 24x -bx -5 +a,is divisible by 2x to the power 2 + 7x - 1 ?
6. ### math

if 27 to the power k is equal to 9 divided by 3 to the power k.find the value of 1 by k to the power 2
7. ### Math

Which of the following is equivalent to the expression 8 to the -5 power times 8 to the second power A) 1/8 to the 7 power B) 1/8 to the 3 power C) 8 to the 3 power D) 8 to the 7 power I was in between b and c but im pretty sure its …
8. ### Math

According to the Pythagorean theorem, which of the following statements below is true for the triangle in the diagram?
9. ### Math

Hey, I just need my answer checked. Simplify: y to the 4th power times y to the 3rd power y to the 1st power y to the 7th power ** y to the 12th power y to the 43rd power correct?
10. ### History

Which of the following powers is shared by presidents in both Russia and the United States?

More Similar Questions