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
xxTIMURxx [149]
2 years ago
7

Plz simplify with steps

Mathematics
2 answers:
Pavel [41]2 years ago
7 0

Answer:

Hey There!

Let's solve...

\frac{a^{3} {b}^{5}  }{ {b}^{4} {a}^{6}  } +   \frac{ {a}^{8} {b}^{6}  }{ {b}^{7} {a}^{9}  } \\  \\  \\  =   \frac{ {a}^{3} { \cancel{b}^{5}} }{{  \cancel{b}^{4}} {a}^{6}  } \\  \\  =  \frac{ {a}^{3}b }{ {a}^{6} } \\  \\  =   \frac{ { \cancel{a}^{3}}b }{  \cancel{{a}^{6}} } \\  =  {a}^{6 - 3} =  {a}^{3}   \\  =  \frac{b}{ {a}^{3} }

Now

\frac{ {a}^{8} {b}^{6}  }{ {b}^{7} {a}^{9}  } \\  \\  \frac{ {a}^{8} }{ {a}^{9} } =  \frac{1}{a} \\  \\ so \: it \: is \:  \frac{ {b}^{6} }{ {b}^{7}a}  \\  \\  \frac{ {b}^{6} }{{b}^{7}  } =  \frac{1}{ba}

So now just make a fraction of them by adding + symbol...

So it will be

\frac{ {b} }{ {a}^{3} } +  \frac{1}{ba} \\  \\

<h2>I hope it is helpful to you...</h2><h3>Cheers!_____________</h3>
vivado [14]2 years ago
3 0

a³b⁵ / b⁴a⁶  ÷ a⁸b⁶ / b⁷a⁹  = 1 / a²

<h3>Indices:</h3>

Indices in math talk about a number raise to another or a variable. They are called exponents.

a³b⁵ / b⁴a⁶  ÷ a⁸b⁶ / b⁷a⁹

Using the law of indices we will simplify the expression as follows;

  • a³b⁵ / b⁴a⁶ =  a³⁻⁶ / b⁵⁻⁴ = a⁻³ / b = 1 / a³b
  • a⁸b⁶ / b⁷a⁹ = a⁸⁻⁹ / b⁶⁻⁷ = a⁻¹ /  b⁻¹ = 1 / ab

Therefore, let's combine the individual simplification.

1 / a³b  ÷ 1 / ab = 1 / a³b × ab / 1

1 / a³b × ab / 1 = 1 / a²

learn more on simplifying indices here: brainly.com/question/10584859?referrer=searchResults

You might be interested in
Which of the following correctly completes the square for: x^2+2x=48
Ket [755]

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

4 0
2 years ago
Read 2 more answers
Guys Can you please help me with this math
Likurg_2 [28]

Answer:

You can buy up to 6 candy bars with a soda

Step-by-step explanation:

7$-2.50$=4.50$

4.50$ / .75$ = 6

4 0
3 years ago
Find the area of a circle with the radius of 3. (use 3.14 for pi)
taurus [48]
------------------------------------------------------
Formula
------------------------------------------------------
Area of circle = πr²

------------------------------------------------------
Find Area of circle
------------------------------------------------------
Area of circle = 3.15 x 3²
Area of circle = 28.26 unit²

------------------------------------------------------
Answer: Area = 28.16 unit²
------------------------------------------------------
7 0
2 years ago
Write the decimal 5.16 in decimal word form
VladimirAG [237]
Five and sixteen tenths, or five point sixteen
4 0
3 years ago
Helppppp me find a equation for this lol
LUCKY_DIMON [66]

Answer: One POSSIBLE answer is (0,9)

Step-by-step explanation: This may look hard but it's actually super easy. All you have to do is substitute a value for x and see what you get as the y value. The first thing I would do is rearrange the equation so that the equation is in the format y = something. So the first thing you should do is subtract 6x from both sides of the equation and you should get -y=-6x+9. Right now, the y is being multiplied by -1, and to undo multiplication, you have to divide. So divide both sides of the equation by -1 (remember, what you do on one side of the equation, YOU HAVE TO DO THE SAME THING ON THE OTHER SIDE). So your new equation would be y=6x-9. Then, all you have to do is substitute a value for x and see what you get for y (x is basically the input and whatever you get for y is the output). S for example, let's say that x=0. So substitute a 0 in the equation wherever you see an x. So in this case, you would get y=(6x0)+9. Then you just simplify. So 6x0 is 0 and 0+9=9 So y=9

TO RECAP: Rearrange the equation so that the equation is in the format y = something. Then, input any number for x, and whatever you get for y is what you put in the brackets as your y value for your final answer.

Hope this helps!

6 0
3 years ago
Read 2 more answers
Other questions:
  • Peter paid $12.83 for a DVD. The price of the DVD was $11.99. How much sales tax did Peter pay?
    12·1 answer
  • What is the probability of getting. Either blue or green on a spinner that is 3/10 green and 1/5 blue
    9·2 answers
  • 439 • 44<br> estimate: 10
    6·1 answer
  • Kyle earned 4 times as much as Ken last summer. If they earned a total of $750, how much did they each earn?
    5·1 answer
  • What is the equation of this line?<br><br> A: y=2x-3<br> B: y=1/3x-2<br> C: y=3x-2<br> D: y=1/2x-3
    15·1 answer
  • Find the measure of angle n​
    5·2 answers
  • Can you please help me i really need help you get 15 points if you answer all please just say a or b or c or d for answers
    9·1 answer
  • How many ounces of a 15​% alcohol solution must be mixed with 4 ounces of a 20​% alcohol solution to make a 17​% alcohol​ soluti
    6·2 answers
  • 1-1 Points Lines and Planes PAP Day 2 <br> Can someone help with answering this full worksheet?
    15·1 answer
  • I need help on all of them T-T (I'm bad at math)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!