answer.
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
Kay [80]
2 years ago
12

Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscrip

t 4 Baseline) (y superscript 6 Baseline) EndFraction) cubed?
Mathematics
2 answers:
Vlad [161]2 years ago
8 0

Answer:

The simplified form of the expression is \frac{1}{x^{7} y^{4}}.

Step-by-step explanation:

The expression is:

\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}

The division rule of exponents is:

a^{m}\div a^{n}=a^{m-n}

The negative exponent rule is:

a^{-m}=\frac{1}{a^{m}}

Simplify the expression as follows:

\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]

         =x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}

Thus, the simplified form of the expression is \frac{1}{x^{7} y^{4}}.

Ipatiy [6.2K]2 years ago
6 0

B) 1/x^21 y^12

I just took the quiz on edge

You might be interested in
Complete the square to rewrite y = x2 - 6x + 15 in vertex form. Then state
love history [14]

Since x^2 is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.

So, if we think of 15 as 9+6, we have

x^2-6x+9+6 = (x-3)^2+6

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).

Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.

5 0
2 years ago
a cylinder has a surface area of 339 square centimeters and a radius of 6 centimeters. estimate the volume of the cylinder to th
oee [108]
I divided 339 by 6 and got 56.5. That quotient rounded to the nearest whole number is 57. I hope I helped you.
4 0
2 years ago
Imagine you conducted a study to look at the association between whether an expectant mother eats breakfast (or not) and the gen
mario62 [17]

Answer:

: The percentage of newborn infants who are exclusively breastfed at the time of hospital discharge.

Data Source: Rhode Island Department of Health, Center for Health and Data Analysis, Newborn Developmental Risk Screening Program Database and Maternal and Child Health Database.

Footnotes: The year indicated is the mid-year of a five-year period of data.

Step-by-step explanation:

3 0
2 years ago
over the course of numbering every page in a book, a mechanical stamp printed 2929 individual digits. How many pages does the bo
Kazeer [188]

1. Page 1-9  (1digit/page x 9page) = 9 digits = 9 page

2. Page 10-99 (2digits/page x 90page)= 180 digits = 90 page

3. Page 100-999 (3digits/page x 900page)= 2700 digits = 900 page

2,929 total digits – (9 digits + 180 digits + 2700 digits)= 40 digits

Since there are only 4 digits after page 999 we divide 40/4 = 10, thus there are 10 more pages after 999

So the book has 1009 pages.

Hope this answer will be a good help for you.

<span> </span>

4 0
2 years ago
A weather station in a major city in the Northwest kept data about the weather conditions over the past year. The probabilities
Black_prince [1.1K]
It is important to note that all the information's required are already given in the question

Probability that a day will be hot = 0.15 + 0.10
                                                   = 0.25
Probability that a day will be sunny = 0.15 + 0.30 + 0.10
                                                        = 0.55
Adding the above two probabilities, we get = 0.25 + 0.55
                                                                     = 0.80
Now
Probability that a day will be both hot and sunny = 0.15
So
Probability that a day was hot or sunny = 0.80 - 0.15
                                                               = 0.65
I hope the procedure is clear enough for you to understand.
3 0
2 years ago
Read 2 more answers
Other questions:
  • Karen had 2 spools of wire. Each spool had 15 7/8 yards of wire. Karen used 3 yards of wire from each spool. How many yards of w
    9·2 answers
  • Mr. and Mrs. Smith's children all play different sports. They want to buy a combination of soccer training sets,which each cost
    5·2 answers
  • For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (
    10·1 answer
  • Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig
    7·2 answers
  • A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick.
    12·1 answer
  • Jenna's heart rate is 60 beats per minute. If Jenna's heart beat 747,533 times, how much time has elapsed? Give your answer in d
    10·2 answers
  • Sally is hosting an Internet auction to sell n widgets. She receives m bids, each of the form "I want ki widgets for di dollars,
    15·1 answer
  • Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation
    14·1 answer
  • Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $20dollar out of his present on bo
    9·2 answers
  • NEED HELP ASAP!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!