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
nasty-shy [4]
3 years ago
13

A^3b^2 divided by a^-1b^-3

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}

And simplifying we got:

a^3 b^2 a b^3

a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5

Step-by-step explanation:

We want to simplify the following expression:

\frac{a^3 b^2}{a^{-1} b^{-3}}

And we can rewrite this expression using this property for any number a:

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

And using this property we have:

\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}

And simplifying we got:

a^3 b^2 a b^3

a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5

You might be interested in
Find the greatest common factor of x^2 and 15xy. A. 1 B. 15 C. x D. 15xy
Sindrei [870]
C. x is the greatest common factor because it is the only term from these answer choices that is a factor of both terms.
5 0
3 years ago
Read 2 more answers
Please help me with this problem and thank you Find the lateral area of this cone leave your answer in terms of pie
alexandr1967 [171]

9514 1404 393

Answer:

  260π in²

Step-by-step explanation:

The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...

  l² = 10² +24² = 100 +576 = 676

  l = √676 = 26

The given formula tells you the lateral area is ...

  A = πrl = π(10 in)(26 in)

  A = 260π in² . . . . . cone's lateral area

_____

<em>Additional comment</em>

The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.

6 0
3 years ago
Read 2 more answers
Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is. Please help by computing the rati
alisha [4.7K]

Answer:

7 : 1

Step-by-step explanation:

Paul's car goes 40 kilometers on 7 tanks.

Distance    :     Tanks

     49        :         7

Fuel efficiency means the distance traveled by the car in one tank.

Therefore, we will reduce the ratio by dividing both sides by 7.

Distance    :     Tanks

    \frac{49}{7}           :         \frac{7}{7}

    7            :         1

Therefore, car's fuel efficiency is 7 kilometers in one tank or the ratio between Distance traveled and fuel tanks is 7 : 1.  

8 0
3 years ago
SALE
maxonik [38]
A. Plz mark brainliest, I need points.
7 0
3 years ago
Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is
Fofino [41]

Answer:

It will cost is <u>$828.75</u>.

Step-by-step explanation:

Given:

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is $3.75 per square foot.

Now, to find the total cost.

Davis is putting tile in his rectangular kitchen.

Length = 13 feet.

Width = 17 feet.

So, to get the area of kitchen:

<em><u>Area = length × width</u></em>

Area = 13 × 17

Area = 221 square foot.

As, the unit rate is given.

Cost per square foot = $3.75.

Now, to get the total cost by using unitary method:

If cost of 1 square foot = $3.75.

So, the cost of 221 square foot = $3.75 × 221

                                                    = $828.75.

Therefore, it will cost  $828.75.

3 0
3 years ago
Other questions:
  • Please help, multiple choice
    14·2 answers
  • What is the constant of proportionality in the equation?<br> y= 5x
    6·1 answer
  • Solve x2 - x - 5/2 = 0 using the quadratic formula.
    7·1 answer
  • The cost of an adult ticket to a varsity basketball game is $3.00 and the student ticket is $1.50. If the number of adult ticket
    14·1 answer
  • What is 12 divided by 6476
    8·1 answer
  • A Canadian football field is 110 yd long and an American football field is 100 yd
    6·1 answer
  • Please answer see the image below
    13·2 answers
  • How I poop and fart jdkdksmrjddj
    10·1 answer
  • A principal of $3100 is invested at 8.25% interest,compounded annually.How many years will it take to accumulate $10,000 or more
    9·1 answer
  • Find the area of the shapes shown in the diagrams below. The lengths are in centimeters.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!