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
dmitriy555 [2]
3 years ago
7

Can u guys answer my question real quick pls

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
4 0

Answer:

  • 11 = 103
  • 12 = 1.732

Step-by-step explanation:

\frac{1}{216^{\frac{-2}{3}}}+\frac{1}{256^{-\frac{3}{4}}}+\frac{1}{243^{-\frac{1}{5}}}\\\\Let \: start  \:with ; \: \frac{1}{216^{\frac{-2}{3}}}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{-a}{b}=-\frac{a}{b}\\=\frac{1}{216^{-\frac{2}{3}}}\\216^{-\frac{2}{3}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\=\frac{1}{216^{\frac{2}{3}}}\\\\216^{\frac{2}{3}}\\=\left(6^3\right)^{\frac{2}{3}}\\\left(6^3\right)^{\frac{2}{3}}=6^{3\times \frac{2}{3}}=6^2\\=36=\frac{1}{\frac{1}{36}}\\

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}=\frac{36}{1}=36\\\frac{1}{256^{-\frac{3}{4}}}\\\\256^{-\frac{3}{4}}=\frac{1}{64}\\\\=\frac{1}{\frac{1}{64}} = 64/1 = 6\\\\\frac{1}{243^{-\frac{1}{5}}}\\\\243^{-\frac{1}{5}}=\frac{1}{3}\\\\=\frac{1}{\frac{1}{3}} = 3/1 = 3\\\\\\=36+64+3\\=103

\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}\\\\2\sqrt{12} = =4\sqrt{3}\\\\\sqrt{32}=4\sqrt{2}\\\\\sqrt{50}=5\sqrt{2}\\\\=\frac{3+\sqrt{6}}{5\sqrt{3}-4\sqrt{3}-4\sqrt{2}+5\sqrt{2}}\\\\5\sqrt{3}-4\sqrt{3}-4\sqrt{2}+5\sqrt{2}=\sqrt{3}+\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:-4\sqrt{2}+5\sqrt{2}=\sqrt{2}\\\\=5\sqrt{3}-4\sqrt{3}+\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:5\sqrt{3}-4\sqrt{3}=\sqrt{3}\\\\

\mathrm{Add\:similar\:elements:}\:5\sqrt{3}-4\sqrt{3}=\sqrt{3}\\\\=\sqrt{3}+\sqrt{2}\\\=\frac{3+\sqrt{6}}{\sqrt{3}+\sqrt{2}}\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}\\\\=\frac{\left(3+\sqrt{6}\right)\left(\sqrt{3}-\sqrt{2}\right)}\\{\left(\sqrt{3}+\sqrt{2}\right)\left(\sqrt{3}-\sqrt{2}\right)}\\\\\left(3+\sqrt{6}\right)\left(\sqrt{3}-\sqrt{2}\right)=\sqrt{3}\\\\\left(\sqrt{3}+\sqrt{2}\right)\left(\sqrt{3}-\sqrt{2}\right)=1\\=\frac{\sqrt{3}}{1}\\\\=\sqrt{3}

You might be interested in
What are the next two terms in the pattern 3,6,5,10,9,18,17
Llana [10]
The next two term in patterns is below 3,6,5,10,9,18,17,34,33,66
7 0
3 years ago
Read 2 more answers
The difference between a number and four is multiplied by negative five. The result is twenty. What is the number?
spayn [35]
(n-4)*-5=20           Answer is  n= 8
4 0
3 years ago
Read 2 more answers
A piece of wire bent to form a square of area 121cm2 . Calculate
Daniel [21]
ANSWER: 11cm

Square root of 121 is 11

So
A= L x W
A = 11 x 11
A = 121 cam 2

8 0
3 years ago
Jacob works part time as a cashier at a drugstore. his gross pay for the year was $8000. Based on his income level, the federal
natta225 [31]
The answer for this question would be the letter c I think well I guess
3 0
2 years ago
What is the distance between two points located at (–6, 2) and (–6, 8) on a coordinate plane?"
ASHA 777 [7]

Answer:

4 units

Step-by-step explanation:

X coordinate never changed so you just need to subtract 2 from 8 to see the unit difference.

3 0
3 years ago
Other questions:
  • What is the sum 3/5 3/7
    6·1 answer
  • How are a trapezoid and parallelogram alike and how are they different
    6·1 answer
  • PLEASE HELP ASAP<br> Brainliest!<br><br> 8C5 = __________. <br> A.40,320 B. 6,720 C.6 D. 56
    8·1 answer
  • Points C,D,E and G are ___ points
    12·1 answer
  • Ronnie walked into the electronics store and fell in love with a stereo speaker. The speaker cost $500. Since Ronnie only had $
    11·1 answer
  • Question 9 options:
    5·1 answer
  • Bruno noticed today's gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above
    13·1 answer
  • 1 1/2 x 1/2 = ?<br> help me por favor &lt;3
    13·1 answer
  • Question 10
    7·1 answer
  • A can do a piece of work in 3 days and B in 6 days. In how many days will they do it together? ​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!