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
bija089 [108]
3 years ago
9

What is the square root of m^6?

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3

==============================

Explanation:

There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative. 

---------------------------

A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative

sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative

------------------------------

If we allow m to be negative, then the final result would be either |m^3| or |m|^3. 

The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.

Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2

You might be interested in
Need assistance please thanks.
Nitella [24]
I guess the answer is 66
5 0
3 years ago
Can someone help me out? I'm stuck. i think I've got the layout but I'm not sure??<br>​
crimeas [40]

Answer:

5.83 ft

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

3² + 5² = c²

9 + 25 = c²

34 = c²

c ≈ 5.8309 ≈ 5.83

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
3 years ago
2. Lupita deposits $34,890 in an account that pays 3.2% simple interest. She keeps the money in
Andre45 [30]

Answer:

34890*3.2%*3=$3349.44

3349.44+34890=$38239.44

3 0
3 years ago
What is the equation?​
elena-s [515]

Answer:

  cost = 1.35n

  $33.75 for 25 songs

Step-by-step explanation:

Based on the numbers given, the cost is proportional to the number of songs downloaded. The constant of proportionality is the cost of one song: 1.35.

  cost = 1.35n

For 25 songs, ...

  cost = 1.35·25 = 33.75 . . . . dollars

__

The equation is ...

  cost = 1.35n

5 0
3 years ago
What is the height of the pennant? Recall the formula
ANTONII [103]

Answer:

I think it is 30 inches

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Mr. Smith drew an obtuse triangle with side lengths of 4 cm, 6 cm, and 8 cm. In addition to being an obtuse triangle, what kind
    9·1 answer
  • What is the smallest quantil used in the recipe
    6·1 answer
  • Can someone answer these ?!!
    14·2 answers
  • Which problem situation matches the equation?
    8·2 answers
  • Which level does macroeconomics focus on?
    5·2 answers
  • What's an expression with a value of 12
    9·2 answers
  • Please help!!! ASAP the bottom number is 3 btw.
    10·1 answer
  • Find the equation of the function in the graph.
    14·2 answers
  • ) 2:y = 5:9, Find the value of y​
    11·1 answer
  • PLEASE SHOW ALL WORK
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!