1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vovikov84 [41]
3 years ago
11

why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?

Mathematics
2 answers:
ehidna [41]3 years ago
8 0
Any number above 1 gets greater, below 1 smaller (when above 0), while 1 itself remains the same. Negative numbers are more unpredictable.
8_murik_8 [283]3 years ago
8 0

Answer:

Because whole numbers are greater than 1 and any number greater than 1 multiplied by it self several times result in a greater number, but proper fractions are numbers less than 1, and a number less than 1 multiplied by it self several times result if a smaller number.

Explanation:

Whole numbers are raised to an exponent , means that such number is multiplied by itself (as many times and the exponent is).

Whole numbers are 1, 2, 3, 4, ....

Number 1 is a special case. When 1 is multiplied by it self the result is 1.

When other whole number (2, 3, 4, 5, ...) is multiplied by it self the result is a greater number. For example, 2 × 2 = 4, 3 × 3 = 9, and so on.

On the other hand, proper fractions, which are those whose numerator is less than the denominator, are less than one, and any number less than 1 multiplied by it self results in a smaller number.

For example: 1/2 × 1/2 = 1/4 or 0.5 × 0.5 = 0.25. This is always true for any proper fraction (a number less than 1).


You might be interested in
What is x equal to in the equation 10+x=5(1/5x+2)
iren [92.7K]

Answer:

30

Step-by-step explanation:

Theorm

6 0
3 years ago
What is the mean of the values in the dot plot? Enter your answer in the box. A number line ranging from 15 to 25 with one dot o
solmaris [256]
The mean of a dataset is the all members of the dataset added together and then divided by the number of members in the set. From your description of the number line, I've created a list of members.

16, 17, 17, 17, 17, 19, 19, 19, 19, 21, 22, 22, 23, 25

Adding all members of this set up produces the value 273. There are 14 members in the set, so 273 / 14 = 19.5. Thus, the mean of the set is 19.5

4 0
3 years ago
Read 2 more answers
How many quarts are there in 12 gallons and 3 quarts? enter the number only. Do not include units
lidiya [134]

Answer:

51

Step-by-step explanation:

5 0
3 years ago
What is the graph of the exponential function y=1.5 to the x power?
xxMikexx [17]
These are what you can plot:
(-2, 0.444), (-1, 0.667), (0,1), (1, 1.5,), (2,2.25)
5 0
3 years ago
Read 2 more answers
Anyone got the answer?(^•^)
malfutka [58]

Answer:

It's 8

Step-by-step explanation:

16 ^{ \frac{3}{4} }  =  \sqrt[4]{16 ^{3} }  =  \sqrt[4]{2 ^{4 \times 3} } = 2^{ \frac{12}{4} }   = 2^{3}  = 8

3 0
3 years ago
Read 2 more answers
Other questions:
  • In the number 38 which digit has largest value
    14·2 answers
  • Do not change the order of the numbers. You may put two numbers together to form a two-degit number.
    6·1 answer
  • 30=(500)(3%)(T)<br> What Is T?
    8·2 answers
  • Alternate exterior angles are __________________.
    5·1 answer
  • Picture attached, please simplify
    7·2 answers
  • Question 4
    5·1 answer
  • Select the inequality down.
    7·1 answer
  • Use a model to solve nine multiplied by four sixths. Leave your answer as an improper fraction.
    9·1 answer
  • You and a friend were invited to a party you both were asked to bring pizzas and chips
    11·2 answers
  • Proving lines parallel determine the value of X
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!