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
Select the correct answer.
zepelin [54]

Answer:

<em>Answer</em><em> </em><em>is option</em><em> </em><em>c</em>

Step-by-step explanation:

given \: equations \: are \\ x - 2y = 15 \:  \: and \: 2x + 4y =  - 18 \\ divide \: by \: 2 \: in \: second \: equation \\ x  + 2y =  - 9 \:  \: (equation \: 3) \\ adding \: 1and \: 3 \: we \: get \\ 2x = 6 \\ x = 3 \\ substitute \: x = 3 \: in \: equation \: 3 \\ 3 + 2y =  - 9 \\ 2y =  - 9 - 3 \\ 2y =  - 12 \\ y =  - 6

x=3 and y=-6

<em>HAVE</em><em> </em><em>A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

6 0
3 years ago
Read 2 more answers
I am a two digit square number. the sum of my digits is 13. what Square number am I
skelet666 [1.2K]
49 Because 7x7 is 49 & 4+9=13
5 0
2 years ago
This stuff confuses me
Slav-nsk [51]
It's slope would be undefined.
6 0
2 years ago
Read 2 more answers
Which relation is a function?
diamong [38]

Answer:

A.

Step-by-step explanation:

If you use the vertical line test only one point hits the graph.

6 0
2 years ago
Read 2 more answers
Evaluate the expression when m = -8.6 and n = -2.7. <br> -7n+4m
Sunny_sXe [5.5K]

Answer:

-15.5

Step-by-step explanation:

-7(-2.7)+4(-8.6)=-15.5

18.9-34.4=-15.5

5 0
3 years ago
Other questions:
  • Noelle's bill was $5.56 for her breakfast sandwich, plus tax. If tax is 12%, how much, in total, did she pay
    10·1 answer
  • What is the value of y in the equation 4 + y = −3?<br><br> 7<br> 1<br> −1<br> −7
    12·2 answers
  • Which angles are right?<br>Check all that apply.​
    14·1 answer
  • Point B(6, –2) is translated using the rule (x – 4, y + 3).
    14·1 answer
  • Point C is located at (-4,-4) point D is located at (2,-4) on the graph. Plot points A and B to form rectangle ABDC with an area
    10·1 answer
  • At the basketball game, the Wild Cats made 80% of the 95 shots taken. How many shots did they make?
    10·1 answer
  • In a certain card game you draw one card off a standard deck of 52 cards. If you draw a spade you get paid $12, if you draw a re
    9·1 answer
  • How do you solve 70 -7•7
    15·2 answers
  • Parallel to y = 2/3x+6<br> through (-3, 6)
    8·1 answer
  • M
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!