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
ANTONII [103]
3 years ago
11

What is the simplest form of

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

The simplest form of \sqrt[3]{27a^{3}b^{7}} is

3ab²(∛b)

Step-by-step explanation:

The given term is:

\sqrt[3]{27a^{3}b^{7}}

To convert it into its simplest form, we will apply simple mathematical rules to simplify the power of individual terms.

\sqrt[3]{27a^{3}b^{7}}\\= \sqrt[3]{3^{3} a^{3}b^{7}}\\= \sqrt[3]{3^{3}a^{3}b^{6}b}\\= 3^{3/3} a^{3/3}b^{6/3}b^{1/3}}\\= 3ab^{2}(\sqrt[3]{b})

While simplifying the term, we basically took the cube root of individual terms. The powers cancelled out cube root for some terms. In the end, we were left with the simplest form of the expression.

You might be interested in
Which phrases can be used to represent the inequality? Check all that apply. One-half + k greater-than 18
mel-nik [20]

Answer:

Here we don't have the options, so i will answer in a general way.

Every sentence that has the general structure like:

"something is greater than something"

"something is smaller than something"

"Something is no greater than something"

"something is no smaller than something"

There are a lot of other sentences, for example the ones like:

"N is at least equal to M" written as: N ≥ M

"N is at most equal to M" written as: N ≤ M

And there may be other ways to represent inequalities in sentences, but this is the most general way

Then the given sentence:

"One-half + k greater than 18"

This is written as:

1/2 + k > 18

Which is an inequality.

6 0
3 years ago
Triangle ABC and triangle DEF are similar. AC = 10, BC = 6, AB = Y in triangle ABC. In triangle DEF DF = X, EF = 5, DE = 7. What
sesenic [268]

Answer:

X=9 and Y=8

Step-by-step explanation:

In relation BC is only 1 unit more than EF. So following that take AC=10, then subtract 1. Get X=9. Then take DE=7 and add 1. Get Y=8

7 0
3 years ago
I need help asap please!!!!
Brut [27]
So, the easiest thing to do here is to add up the numbers of each option to find the number most similar to the solution of (-4/5)(3/5)(-6/7)(5/6) which is approximately equal to 0.34.
The product of expression A is -0.25
The product of expression B is 0.50
The product of expression C is 3
The product of expression D is -0.05625

So, first of all, we can rule out choices A and D because they are both negative, whereas 0.34 is not. Now, we just have B and C, and clearly, B is much closer to 0.34 than C is, so B is the correct answer. I hope this helps! :)
3 0
3 years ago
This is an angle whose measure is exactly 90°
KatRina [158]

Answer:

A right triangle?

Step-by-step explanation:

8 0
3 years ago
Item 1
AleksandrR [38]

It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.

8 0
2 years ago
Other questions:
  • 32x - 12.8 simplify plz
    11·2 answers
  • PLEASE HELP ASAP!!!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!!
    11·1 answer
  • A cereal box has dimensions of 2 in., 5 1/3 in., 10 3/4 in.
    13·1 answer
  • Basic Probability
    5·1 answer
  • Which set of statements about the angles is true?
    15·1 answer
  • write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u=(-9,3), v=(-9
    10·1 answer
  • 1. Jeremiah received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $
    15·1 answer
  • on average 1 1/3 bushels od seed are needed to plant 1 arce of wheat. how many bushels of seed would be required to pay it arces
    14·1 answer
  • Help with this thing please help me if yall know the answer to this thing it is due today
    8·1 answer
  • ILL GIVE BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!