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olga55 [171]
3 years ago
13

Why do whole numbers raised to an exponent get bigger while fractions raised to an exponent get smaller

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

when you multiply a whole number by itself it will obviously get bigger.

4 to the 2nd power equals 16 because 4x4 = 16

if you were to multiply a smaller number though, it wouldn't get as big.

Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.

ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.

Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.

1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.

Step-by-step explanation:

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How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0
3 years ago
Ok I'm doing home work and need to show why 1/2 of 60 is not the same as 1/2 of 24 please help! It will give you 24 points.
Tems11 [23]
Simple,

1/2 of 60

re-write it as 0.5 of 60 aka 0.5*60

which is 0.5*60=30

Do the same with 1/2 of 24.

0.5 of 24

0.5*24=12.

Thus, it's not the same because they are different numbers and different number give you different answers.
7 0
3 years ago
Plzz help me and don't give me a negative answer for points
LenaWriter [7]
1. No idea
2. Angle A
3. Line RT
4. NO, 4/2 = 2, 5/3 = Not 2
5.Asking someone else?
6. 6 ft.
7. 10.56, precisely
8. 90 degrees
9. 51 degrees
10. 24 ft.
4 0
3 years ago
How do I solve 3 (9-5)² ÷8 ?
Harrizon [31]

Answer:

3(9-5)^2 ÷8

3(4)^2÷8

3(16)÷8

3(2)=6

8 0
3 years ago
Read 2 more answers
Find the straight time pay if you earn $7.90 per hour and worked 37 hours.
S_A_V [24]

Answer: $292.30

Step-by-step explanation:

6 0
3 years ago
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