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
Airida [17]
3 years ago
11

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

ative. << Read Less
Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0
Recall that one of the rules of exponents states that
x^{ \frac{m}{n} }= \left(\sqrt[n]{x} \right)^m

Now, let x be a negative number and n, an even number, then
(-x)^{ \frac{m}{n} }= \left(\sqrt[n]{(-x)} \right)^m

But the even root of a negative number is not a real number.
for example, \sqrt{-1} is not a real number, rather a complex number.

Hence, <span>rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is negative.</span>
You might be interested in
A piece of fabric costs $5.29 a yard which is estimated cost of 16.3 yards of fabric
Cloud [144]

Answer:

your estimate would be $86.22

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
You are the treasurer for a local charity. At the beginning of the month the balance was $820.64. The charity received donations
djverab [1.8K]
Beginning Balance:                  820.64
Add:
donations: 500 + 55 + 25          580.00
Deduct:
electric bill:  40.64
postage bill: 12.75
rental       : 445.00            <u>     (498.39)</u>
Ending Balance                     902.25

The balance at the end of the month is $902.25
6 0
3 years ago
Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
ohaa [14]
The answer would be d , because you have to add how many of each fish to equal up to the sum of 420 . which is x y . so the first equation is x + y = 420 . then it says he bought 6 times as many parrotfish as he did angelfish so you would have to multiply x which represents angelfish by 6 . to get the second equation of y = 6x .
5 0
2 years ago
Read 2 more answers
Makaylas Movie theater,, 10 points please answer lol
miskamm [114]

Answer:

You're right! The 1st part is 25, and the second part is all real numbers

Step-by-step explanation:

She has to pay $25 to begin with. For the 2nd part, it's not going to be any crazy values, since we're dealing with money

8 0
2 years ago
Find the average of 2, 6, 12, 8, and 7
Crazy boy [7]

Answer:

7

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • THIS IS THE SECOND TIME IM PUTTING THIS HERE PLS ITS URGENT I STRUGGLE WITH CALCULUS THANK YOU
    13·1 answer
  • How do you slove cot theta = -3
    12·1 answer
  • A baseball player get on base seven times and strikes out five times during the tournament. What is that experimental have abili
    10·1 answer
  • The US courts are reviewing a case to see whether a work has been refused fairly. What is an example of something they might con
    12·1 answer
  • Find the difference between (15,-17) and (-20,-5)
    12·1 answer
  • The equation f(x) = 2x²-x+ 4 has roots a and B.
    13·1 answer
  • What kind of graph is this ?<br> A. Positive <br> B. Negative <br> C. Zero <br> D. Undefined
    11·2 answers
  • Find the value of x<br><br> a)105°<br> b)85<br> c)75<br> d)25
    11·2 answers
  • The price of bananas can be determined by the equation P=0.45n, where P
    7·2 answers
  • Please Help Me!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!