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
Oxana [17]
3 years ago
12

Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

Mathematics
2 answers:
natima [27]3 years ago
4 0

Answer:

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}

Step-by-step explanation:

The question is poorly formatted. The original question is:

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7

We have:

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7

Open bracket

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

Express 8 as 2^3

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}

Express 2^3 as 8

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}

Expand each exponent

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}

Split

(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}

Factorize

(8x^3)^ \frac{2}{3} \sqrt{75x^3}  + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}

Harlamova29_29 [7]3 years ago
4 0

Answer:

42x^2 ^3 square root 3x

Step-by-step explanation:

i got it right

You might be interested in
What is the quotient and remainder of 8 divided 25
Gemiola [76]

the answer is 3 reminder 1


8 0
3 years ago
Name the property of 5x•(4y+3x)=5x•(3x+4y)
Luba_88 [7]
Associative property of addition
6 0
3 years ago
A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).
Ksju [112]

Answer:

4x - 5y - 9 = 0

\frac{9}{4}

\frac{-9}{5}

Step-by-step explanation:

The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by \frac{y - (-5)}{-5-(-1)} =\frac{x-(-4)}{-4-1}

⇒ \frac{y+5}{-4} =\frac{x+4}{-5}

⇒ 5y + 25 = 4x + 16

⇒ 4x - 5y - 9 = 0 ....(1) (Answer)

Now, this above equation can be represented as

\frac{x}{\frac{9}{4} } + \frac{y}{\frac{-9}{5} } =1

Therefore, the x-intercept is \frac{9}{4} (Answer)

And the y-intercept is \frac{-9}{5}. (Answer)

7 0
3 years ago
Read 2 more answers
Do you know the answer to this question?
WINSTONCH [101]

Answer:

Step-by-step explanation:

4 0
2 years ago
What is the next number in this sequence?  0.03,  0.12,  0.48,  1.92,  __________​
Marina CMI [18]

Answer:

the next number in the sequence would be 7.68

Step-by-step explanation:

you are multiplying by 4. 0.03 multiplied by 4 equals 0.12, and so on.

8 0
3 years ago
Other questions:
  • Prudie needs $90 or more to be able to take her family out to dinner. she already saved $30 and wants to taker her family out to
    7·2 answers
  • 115 + ( -215 ) + 315 + ( -415) + 515 + ... + 3915 + ( -4015 ) =
    13·2 answers
  • Alexander earned $46 at his job when he worked for 4 hours. What was his hourly pay rate in dollars per hour? Express your answe
    7·2 answers
  • Can I please get some help?? Use the diagram and the given information to find the unknown length.
    9·1 answer
  • 160 pounds to kilograms
    9·2 answers
  • A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 54 f
    5·2 answers
  • A one celled, aquatic organism called dinoflagellate is 1000 micrometers long.
    14·2 answers
  • $450 at 5.2% interest for <br> 3 years<br> inerest number:<br><br> new balance:
    12·1 answer
  • Diane split 3/4 pounds of candy among 8 people. What is the unit rate in pounds per person? Write your answer in simplest form.
    7·1 answer
  • What is the tangent ratio of angle x°​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!