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
Nonamiya [84]
3 years ago
12

What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3

Mathematics
1 answer:
joja [24]3 years ago
6 0

Given:

The expressions are

-6a^2b^{-1}

\dfrac{5}{y^{-3}}

To find:

The simplified form of each expression.

Solution:

We have,

-6a^2b^{-1}

=-6a^2(\dfrac{1}{b})      [\because x^{-n}=\dfrac{1}{x^n}]

=-\dfrac{6a^2}{b}

Therefore, the simplified form of -6a^2b^{-1} is -\dfrac{6a^2}{b}.

We have,

\dfrac{5}{y^{-3}}

=\dfrac{5}{\dfrac{1}{y^3}}      [\because x^{-n}=\dfrac{1}{x^n}]

=5\times \dfrac{y^3}{1}

=5y^3

Therefore, the simplified form of \dfrac{5}{y^{-3}} is 5y^3.

You might be interested in
The charity gala costs $5.17 for every attendee. How many attendees can there be, at most, if the budget for the charity gala is
Elodia [21]

Answer:

15 people are able to be at the charity gala because 77:55 divided by 5:17.

3 0
3 years ago
In one area, the lowest angle of elevation of the sun in winter is 24degrees Find the distance x that a plant needing full sun c
sweet [91]

Answer:

round answer is : 10 ft

Step-by-step explanation:

The explanation is in the picture!

5 0
3 years ago
Ive been at this for abt 30 min. help?
gregori [183]

Answer:

1+\frac{-63}{x^2-1}

Step-by-step explanation:

If you foil this equation you will get:

\frac{(x+8)(x-8)}{(x+1)(x-1)}

And by dividing it, you will get;

1+\frac{-63}{x^2-1}

That is your answer!

6 0
3 years ago
Which number is greater than the absolute value of -3/8?<br><br> -5/8<br> -1/8<br> 1/4<br> 0.5
erica [24]
-3/8 = -0.375

-5/8 = -0.625
-1/8 = -0.125
1/4 = 0.25
<span>0.5 = 0.5
</span>
Therefore 1/4 & 0.5 & -1/8 > -3/8

5 0
3 years ago
Read 2 more answers
The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per
Nikitich [7]
So we just need to plug in our values and solve
v = 20 \sqrt{273 + t}
we are given v is 369 so we have
369 = 20 \sqrt{273 + x}
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
369 = 20 \sqrt{273 + x}  \\ 18.45 =  \sqrt{273 + x}  \\ 340.40 = 273 + x \\ x = 67.4
so a temp of about 67 degrees C
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the height of a cone with a radius of 10 inches and a volume of 2199.11 in.³
    11·1 answer
  • ×+35=19 how do i get the answer​
    11·1 answer
  • Is the square root of negative 5 a rational irrational or imaginary
    13·2 answers
  • Compare 13 and – 8).
    11·1 answer
  • B=2/3(H+5) Solve for H Thank you :)
    15·2 answers
  • What is the answer to 5 and 6
    6·1 answer
  • Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 14 strawberries, how many grapes will she us
    6·2 answers
  • Question is on the picture and thank you!
    8·1 answer
  • Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x?
    6·1 answer
  • The drama club is selling short-sleeved shirts for $5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!