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
IRISSAK [1]
2 years ago
6

Explain why rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is nega

tive
Mathematics
2 answers:
Mice21 [21]2 years ago
5 0
<span><u><em>The correct answer is: </em></u>
we cannot take an even root of a negative number in the real number system.

<u><em>Explanation</em></u><span><u><em>: </em></u>
A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.
If the base is negative, this means we want an even root of a negative number.
Any even root can be broken down into a series of square roots, done one after another.
However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.</span></span>
Mariulka [41]2 years ago
5 0
We cannot take an even root of a negative number in the real number system. 
You might be interested in
Someone help me with this pls
Mumz [18]

Answer:

There will be approx 283908 hits.

Step-by-step explanation:

A website had 342,000 hits in 2011.

This is a decline of 2.3% from the previous year.

Decline rate = 2.3% or 0.023

So, increase rate will be 1-.023=0.977

Time = 2019-2011=8

We can calculate the answer as:

342000\times(0.977)^{8}

= 342000\times0.83014

= 283907.88 rounding to 283908.

Therefore, there will be approx 283908 hits.

4 0
3 years ago
Is 16 divided by 3 a repeating decimal
Nady [450]

Answer:

Yes

Step-by-step explanation:

16 ÷ 3 = 5.333333...

3 0
3 years ago
Read 2 more answers
Which function describes the arithmetic sequence shown?<br><br> 1, 7, 13, 19, 25, 31, ...
Taya2010 [7]

Answer:

a(n) = a(1) + 6(n -1)

Step-by-step explanation:

The common difference here is 6.  1 + 6 = 7; 13 + 6 = 19; and so on.

Thus, the function in question is a(n) = a(1) + 6(n -1).

3 0
2 years ago
ILL MARK U BRAINLIEST!!!!
Helen [10]

Answer:

Step-by-step explanation:

(40,5) and (0,0) are points on the line.

Slope of line = (40 miles)/(5 minutes) = 8 Mikes per minute

4 0
2 years ago
Read 2 more answers
On a coordinate plane, a line goes through (0, 0) and (2, negative 2).
lyudmila [28]

Answer:

the answer is (-2,2)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • 1. (2 points) Solve each equation and write the answer on the line
    11·1 answer
  • What is 537 rounded to the nearest hundred
    7·2 answers
  • Find the Area of the circle
    5·1 answer
  • Which of the following equations have infinitely many solutions?
    10·1 answer
  • Match each value with the smallest number set that it belongs to.
    7·1 answer
  • It represents the set of traits, competencies and values an individual would like to possess.
    7·1 answer
  • What is the slope of this equation? y=8-x
    12·1 answer
  • Which of the following properties would you use to solve 3r≤16 for r?
    13·1 answer
  • In a particular class of 27 students, 11 are men. What fraction of the student are men?
    14·1 answer
  • Expressions equivalent to 3a+9a+7b-b<br>PLS HELP DUE TONIGHT
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!