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
belka [17]
4 years ago
10

Please someone answer this please

Mathematics
1 answer:
gladu [14]4 years ago
8 0

Option C:

\frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Solution:

Given expression:

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}

To find which expression is equivalent to the given expression.

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}

Using exponent rule: \frac{1}{a^m}=a^{-m}, \ \  \frac{1}{a^{-m}}=a^{m}

    $=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }

    $=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }

Using exponent rule: {a^m}\cdot{a^n}=a^{m+n}

    $=\frac{-18 a^{(-2+4)} b^{(5+6)}}{-12 }

   $=\frac{-18 a^{2} b^{11}}{-12 }

Divide both numerator and denominator by the common factor –6.

   $=\frac{3 a^{2} b^{11}}{2 }

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }

Therefore, \frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Hence Option C is the correct answer.

You might be interested in
What is the HCF of 20, 45 and 15
nekit [7.7K]

Answer:

5

Step-by-step explanation:

Find the greatest common divisor:

gcd(20, 45, 15)

Find the divisors of each integer and select the largest element they have in common:

The divisors of 20 are:

1, 2, 4, 5, 10, 20

The divisors of 45 are:

1, 3, 5, 9, 15, 45

The divisors of 15 are:

1, 3, 5, 15

The largest number common to all divisor lists is 5:

divisors of 20: 1, 2, 4, 5, 10, 20

divisors of 45: 1, 3, 5, 9, 15, 45

divisors of 15: 1, 3, 5, 15

Answer: gcd(20, 45, 15) = 5

7 0
3 years ago
Write the fraction 15/25 in its simplest form
Lunna [17]

Answer:

3/ 5 is the simplest form

4 0
3 years ago
Read 2 more answers
The circle above has a radius of 10 cm. What is the area of the circle? Use = 3.14.
nataly862011 [7]
For this you need the formula for a circle:

A=πr2 (pi r squared)

A=π(10) squared
A=(3.14)(10) squared
(remember to square before you multiply - order of operations)
A=(3.14)(10*10)
A=(3.14)(100)
A=314

Hope this helps!  :)
4 0
3 years ago
The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. Which equation models t
Zanzabum

Answer:  [H+] = 10^-7.2

Step-by-step explanation:

Given that the PH of the solution = 7.2

Using the formula pH = –log[H+]. To get the H+ concentration from the pH, raise both sides by the base of 10. Then we have

10^ -pH = H+. with pH of 7.2,

Thus the answer to this problem is

[H+] = 10^-7.2

8 0
4 years ago
1+1 what is it can you answer
Lorico [155]

Answer:

2 is the answer

Step-by-step explanation:

1 + 1 would be 2

3 0
4 years ago
Read 2 more answers
Other questions:
  • Miguel walks 3/4 mile around the high school track in 1/2 hour. How far can he walk in 2 hours? Explain.
    8·1 answer
  • What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"
    14·1 answer
  • Which box plot matches the data set? <br><br><br><br><br> Please help me!! :)
    9·1 answer
  • What is the surface area of this cylinder?
    11·1 answer
  • If 3x-18=186 what is the value of x
    5·2 answers
  • Stuck on this hope someone can help me
    13·1 answer
  • Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale
    11·1 answer
  • Suppose f varies inversely with g and that f = 28 when g = 2. What is the value of f when g = 7?
    7·2 answers
  • I need help with the first questions!!
    15·1 answer
  • 5) The depth finder on a fishing boat gives readings
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!