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
olya-2409 [2.1K]
3 years ago
9

Assume all variables represent non negative numbers . Help please!!

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

A). 2p^{8}

B). 3m^{7}

Step-by-step explanation:

A). \sqrt{4p^{16}}

    To get the square root of the given expression we will convert it into the square form.

4p^{16}=(2)^2(p^{8})^2 [Since 2×2 = 4 and p^{8}\times p^{8}=p^{16}]

Therefore, \sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }

                             =2p^{8}

B). \sqrt{9m^{44}}

    Since, 9m^{14}=(3)^2\times (m^7)^2

    Therefore,  \sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2} [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   =3m^{7}

You might be interested in
Which equation has a graph that passes through the points at (0,5) and (-3,-4)?
Roman55 [17]

Answer:

y = 3x + 5

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).  

Now, we know that the equation of a straight line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by

\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}.

So, in our case (x_{1},y_{1}) ≡ (0,5) and (x_{2},y_{2}) ≡ (-3,-4)

Therefore, the equation of the straight line will be  

\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}

⇒ y - 5 = \frac{9}{3}x

⇒y = 3x + 5 (Answer)

4 0
3 years ago
If 2(x + 2) + 4(x - 1) = 8, then 3x =
lubasha [3.4K]

Answer:

3x=4

Step-by-step explanation:

3 0
3 years ago
Which step would be used in the proof of the Pythagorean Theorem illustrated below?
tamaranim1 [39]
The answer to this question is squaring of areas
7 0
2 years ago
Fifty-six is equal to the product of 7 and a number
scoundrel [369]
56 is equal to the product of 7 and 8 hope it helps!
5 0
3 years ago
Read 2 more answers
Round 3878.97521159 to the nearest tenth.
almond37 [142]

Hello!


Since we are rounding until tenths, the answer would be 3879.


Since a tenth is the first decimal of a number, we just round it and get that.


Hope this helped! c:

5 0
3 years ago
Other questions:
  • A receptionist at a local business answers the phone 396 times a day. if she works 9 hours a day, how many times does she have t
    13·2 answers
  • In which quadrant does the point s(-3, -4) lie?
    8·1 answer
  • The price of a wallet is $31.95 and the sales tax is 7.5%.
    10·1 answer
  • What is the answer?
    13·1 answer
  • These four numbers are plotted on a number line: -2/3 5/8 -3/5 -1/2 Which is the correct ordering on the number line, from left
    9·1 answer
  • !!!!!!Please help !!!!!!
    8·2 answers
  • What is the value of k?
    8·2 answers
  • A small bag can hold 40 packets of crackers and a large bag can hold 90
    11·1 answer
  • Explanation needed <br>What is the x-intercept of the equation:<br> -5x+15y=30​
    7·1 answer
  • 50 POINTS!!!!! PLEASE WILL MARK BRAINLIEST
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!