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
Alex787 [66]
2 years ago
9

Which expression is equivalent to (81x4y16)12 for all positive values of x and y? 40.5x4y16

Mathematics
1 answer:
IrinaVladis [17]2 years ago
4 0

Answer:

(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8

Step-by-step explanation:

Given

(81x^4y^{16})^{\frac{1}{2}}

Required

Determine an equivalent expression

Express 81 as 9^2

(9^2x^4y^{16})^{\frac{1}{2}}

Apply law of indices

9^2^{\frac{1}{2}} * x^4^{\frac{1}{2}} * y^{16}^{\frac{1}{2}}

9^{\frac{2*1}{2}} * x^{\frac{4*1}{2}} * y^{\frac{16*1}{2}}

9^{\frac{2}{2}} * x^{\frac{4}{2}} * y^{\frac{16}{2}}

9^1 * x^2 * y^8

9 * x^2 * y^8

9 x^2 y^8

Hence:

(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8

You might be interested in
Reduce -3/-3 hurrry please.
Darya [45]

Answer:

=>1

=> \frac{-3}{-3}

=> Simplify:minus and minus simplify each other and so do 3 and 3

=> So were are left with 1

Thus,the answer is 1

Step-by-step explanation:

5 0
2 years ago
Need help fast!!!!!!!!
Kamila [148]
C. 2/3; reduction
have a good day
4 0
3 years ago
I don't remember what it is that I'm doing, as I did the lessons before spring break. Help?
blsea [12.9K]
Extraneous solutions, is answers that we get because of squaring both sides of the radical equation, but in reality, they are not going to be the solutions of  the given equation.
(√(4x+41))²=(x+5)²
4x+41=x²+10x+25
x²+6x-16=0
(x-2)(x+8)=0
x1=2 , x2=-8,
And now we must to check them by substitution into initial equation

√(4x+41)=x+5
1)   x=2,   √(4*2+41)=2+5, √49=7, 7=7 true
2) x=-8,     √(4*(-8)+41)=-8+5,   √9 =-3    false,
so an extraneous solution x=-8
6 0
3 years ago
I just need answers to the odd numbered questions.<br> I would appreciate the help<br><br> 35 points
Misha Larkins [42]

Answer:

Step-by-step explanation:

Combine real terms and combine complex terms

1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i

                          = 5 + (2-5)i

                          = 5 + (-3)i

                          = 5 - 3i

3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i)  = 2 -1 + 2i + 4 - 5i - 1 + 3i

           {- is distributed to (1 - 2i) & - is distributed to (1- 3i)}

              = 2 - 1  + 4 + 1 + 2i - 5i + 3i

              = 6 +0i = 6

5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i

                          = 8

7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i     {(a - b)² = a² - 2ab +b²}

= 9 -12i + 4i² + 3 + 2i

= 9 - 12i + 4*(-1) + 3 + 2i       {i²  = -1}

= 9 +3 - 4 - 12i +2i

= 8 - 10i

9) (a +b)^{4} - (a - b)^{4} = 8ab(a^{2} +b^{2})\\\\\\Here, \ a = 1 \ and \ b = i\\\\\\(1+\sqrt{-1})^{4}-(1-\sqrt{-1})^{4}=(1+\sqrt{i^{2}})^{4}-(1-\sqrt{i^{2}})^{4}\\\\=(1+i)^{4}-(1-i)^{4}\\\\=8*1*i(1^{2}+i^{2})\\\\=8i*(1 -1)\\\\=8i*0\\\\=0

6 0
3 years ago
What is the length of DE?<br> A. 5<br> B.7<br> C.6<br> D.8
iragen [17]

Answer:

The correct answers is A

Step-by-step explanation:

Mark me as brainliest and follow me

8 0
3 years ago
Read 2 more answers
Other questions:
  • When you have the number 81 as your median and you have to find the missing number out of the following 82,87,77,70,80,88
    14·1 answer
  • At the beginning of the week, Paloma opened a new box of 100 coffee creamers. Sixty-seven coffee creamers were used during the w
    12·2 answers
  • Use the Law of Sines to solve the triangles. <br><br> B = 29°, b = 26, c = 28
    13·2 answers
  • Triangle GHI is similar to triangle JKL. If angle H measures 60 degrees and angle L measures 25 degrees, what is the measure of
    6·1 answer
  • Can someone help me with this .(let the download load or check in your downloads)
    11·1 answer
  • What is the inverse function of f(x)=7x-2
    15·1 answer
  • What is the value of k in the product of powers below?
    7·2 answers
  • Vugfybj Bukhara Hii diss did deism ska she did she dke end skip and sjj?
    6·2 answers
  • Which of the following equations , in it's simplest form , will be equivalent to 3x+2+(-5)?
    5·1 answer
  • What is this? 3/4(x+8)&gt;1/2(2x+10)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!