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
KonstantinChe [14]
2 years ago
12

Simplify : x ^ (1/3) * (x ^ (1/2) + 2x ^ 2)

Mathematics
1 answer:
Rudiy272 years ago
5 0

Answer:

x^{\frac{1}{3}}\:\times \left(x^{\frac{1}{2}}\:+\:2x^2\right)=x^{\frac{5}{6}}+2x^{\frac{7}{3}}

Step-by-step explanation:

x^{\frac{1}{3}}\:\times \left(x^{\frac{1}{2}}\:+\:2x^2\right)

Let us simplify the expression

x^{\frac{1}{3}}\:\times \left(x^{\frac{1}{2}}\:+\:2x^2\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

a=x^{\frac{1}{3}},\:b=x^{\frac{1}{2}},\:c=2x^2

so

=x^{\frac{1}{3}}x^{\frac{1}{2}}+x^{\frac{1}{3}}\times \:2x^2

=x^{\frac{1}{3}}x^{\frac{1}{2}}+2x^2x^{\frac{1}{3}}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

so the expression becomes

=x^{\frac{5}{6}}+2x^{\frac{7}{3}}

Thus,

x^{\frac{1}{3}}\:\times \left(x^{\frac{1}{2}}\:+\:2x^2\right)=x^{\frac{5}{6}}+2x^{\frac{7}{3}}

You might be interested in
Please help me PLEASE and NO LINKS OR YOU WILL BE REPORTED. I need help choosing the right statements also the line plot I chose
olasank [31]

Answer:

why no links? also I think the answer is 5 but I'm just guessing

5 0
2 years ago
Read 2 more answers
7+(-14)+(-6)+13+4=-37​
Kaylis [27]

Answer:

4

Step-by-step explanation:

7+(-14)+(-6)+13+4

7+(-20)+13+4

(-13)+13+4

0+4

4

4 0
3 years ago
Which of the following shows the division problem below in synthetic division form? (6x^3+x^2-3)/(x-7)
PSYCHO15rus [73]

Answer:

Option C.

Step-by-step explanation:

If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

\dfrac{6x^3+x^2-3}{x-7}

Here,

x-c=x-7\Rightarrow c=7

The numerator polynomial can be written as

P(x)=6x^3+x^2+0x-3

So, the coefficients of numerator are 6, 1, 0, -3.

The synthetic division form for given division problem is

7      |     6       1      0    -3

Therefore, the correct option is C.

5 0
3 years ago
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hin
zaharov [31]

Answer:

3200 meters

Step-by-step explanation:

because it is

4 0
2 years ago
Tape travels through a tape player at a speed 0.048 meters per seconds. How long is tape that can play for 30 minutes
Vadim26 [7]
OK So this is how u do this:- 

0.048*30=1.44

Hope I helped:D 



8 0
3 years ago
Other questions:
  • What is the total perimeter of the pitch and seating area
    7·1 answer
  • .3 with a bar notation × 21
    10·1 answer
  • margot measured the distance for 6 wavelengths of visible light as 2,400 nano meters what is the distance for 1 wavelength
    11·1 answer
  • 2/3 · (9y - 15) = 14<br><br> im stoopid
    10·1 answer
  • a 4-digit password is a number that begins with a 3 and does not contain a zero or nine. if digits can be repeated, how many pos
    15·1 answer
  • How many different menus showing 10 main courses can a restaurant make if it has 15 main courses from which to choose?
    11·1 answer
  • Can I get help on 1-20 please
    6·1 answer
  • Justin is 2years older than one third Marcellas age. Aimee is four years younger than 2 times Justin's age. Define a variable an
    5·1 answer
  • 3x + 7 = 9x + 3<br> No solution one solution or infinite
    10·2 answers
  • Patterinsin the multiplication table
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!