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
raketka [301]
2 years ago
9

Simplify this radical. Square root of x to the 13th power

Mathematics
2 answers:
wlad13 [49]2 years ago
8 0

Answer:

x^6\sqrt{x}

Step-by-step explanation:

we have:

\sqrt{x^{13}}

we can write:

\sqrt{x^{13}} :\sqrt{x^{2}*x^{2}*x^{2}*x^{2}*x^{2}*x^{2}*x}

we know:

\sqrt{x^{2}} = x

so we have:

\sqrt{x^{13}} =\sqrt{x^{2}*x^{2}*x^{2}*x^{2}*x^{2}*x^{2}*x}

we have:

\sqrt{x^{2}*x^{2}*x^{2}*x^{2}*x^{2}*x^{2}*x}=

x^{6} \sqrt{x}

Lubov Fominskaja [6]2 years ago
8 0

Answer:

\large\boxed{\sqrt{x^{13}}=x^6\sqrt{x}}

Step-by-step explanation:

\sqrt{x^{13}}=\sqrt{x^{12+1}}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=\sqrt{x^{12}x^1}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{x^{12}}\cdot\sqrt{x}=\sqrt{x^{6\cdot2}}\cdot\sqrt{x}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(x^6)^2}\cdot\sqrt{x}\qquad\text{use}\ \sqrt{x^2}=|x|\\\\=|x^6|\sqrt{x}=x^6\sqrt{x}\ \text{because}\ x^6\geq0

You might be interested in
Enter numbers to write 0.000328
Makovka662 [10]

Answer:

3.28 x 10^-4


Step-by-step explanation:

0.000328 = 3.28 x 10^-4

7 0
3 years ago
2cos2ysin2y<br>simplify​
murzikaleks [220]

Reorder 2 cos (2y) and sin (2y)

= sin (2y)(2 cos(2y))

Remove parenthesis

= sin (2y) * 2 cos (2y)

Reorder sin (2y) and 2

= 2 * sin (2y) cos (2y)

Apply the sine double-angle identity

= sin (2(2y))

Now multiply 2 by 2

<u>= sin (4y) </u>

8 0
3 years ago
Write an equation for the n th term of the arthemeric sequence 6,3,0,-3
s344n2d4d5 [400]

Answer:

x nth term =6–3(n-1)

Step-by-step explanation:

Since they start at 6 its X nth term n=6- but since the since one is 6 its 3(n-1) so x nth term=6-3(n-1)

3 0
3 years ago
Correct answer only please!
il63 [147K]

Answer:

$9257.5

Step-by-step explanation:

plug into the equation  known variables

3 0
2 years ago
Read 2 more answers
4a + 3 = 15<br> What does (a) equal
olga2289 [7]
4a + 3 = 15
- 3
4a = 12
÷ 4
a = 3
I hope this helps!
5 0
3 years ago
Read 2 more answers
Other questions:
  • Giving 20 points help me with this ASAP please
    9·1 answer
  • It should be easy I just don’t get it.
    10·1 answer
  • What is the value of x, if 105% of 90 is equal to 200% of x?
    12·1 answer
  • A communications satellite transmits a radio wave at a frequency of 5 • 109 Hz. What is the signal’s wavelength? Assume the wave
    8·1 answer
  • Mary takes 9 grapes from rohin and then decides to give 4 back write and subtraction problem to describe how many grapes rohin h
    8·1 answer
  • Where does f(x) = g(x)
    12·1 answer
  • What is the slope intercept form of the equation for the line containing (0,-3) with slope -1​
    6·1 answer
  • Light travels about 180 million kilometers in 10 minutes. How far does it travel in 1 minute ? How far does it travel in 1 secon
    11·2 answers
  • Which formula should I use?
    12·1 answer
  • The length of title a is about 2.23607 inches which mark on the tape measure is closest to 2,23607 inches ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!