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
vovikov84 [41]
3 years ago
11

What is the simplified form of 15x^8/24y^5 divided by 4x^4/8y^2

Mathematics
2 answers:
Reika [66]3 years ago
6 0
(24y^5)/(15x^8) * 4x^4/(8y²) 

<span>Reduce the common factors for the numerator and denominator and multiply the fractions altogether to get... </span>

<span>24/8 * y^(5 - 2) * 4/15 * 1/x^(8 - 4) </span>
<span>= 3y³ * 4/15 * 1/x^4 </span>
<span>= 4y³/(5x^4) </span>

<span>I hope this helps!</span>
yawa3891 [41]3 years ago
3 0

Answer:  The required simplified form is \dfrac{5x^4}{4y^3}.

Step-by-step explanation:  We are given to find he simplified form of the following division :

\dfrac{15x^8}{24y^5}~~~\textup{divided by}~~~\dfrac{4x^4}{8y^2}.

We know the following method :

\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}.

Also, we note the following rule of exponents :

\dfrac{x^a}{x^b}=x^{a-b}.

The simplification of the given division is as follows :

\dfrac{15x^8}{24y^5}~~~\textup{divided by}~~~\dfrac{4x^4}{8y^2}\\\\\\=\dfrac{15x^8}{24y^5}\div \dfrac{4x^4}{8y^2}\\\\\\=\dfrac{15x^8}{24y^5}\times\dfrac{8y^2}{4x^4}\\\\\\=\dfrac{5\times2}{8}\times\dfrac{x^{8-4}}{y^{5-2}}\\\\\\=\dfrac{5x^4}{4y^3}.

Thus, the required simplified form is \dfrac{5x^4}{4y^3}.

You might be interested in
A cylinder has a base area of 100cm and volume of 1500 cm what’s the height
e-lub [12.9K]

Answer:

we know,

Volume of cylinder = Base area × height

1500= 100×h

so, Height h = 15 cm

6 0
2 years ago
Can you please help me with this one
My name is Ann [436]

Answer:

6x=-60

Step-by-step explanation:

3 0
2 years ago
Question 3<br> (-4)² =<br> How can I solve this
slava [35]
(-4)^2
A negative base raised to an even power gives us a positive so
4^2
4x4=16
4 0
3 years ago
Read 2 more answers
2 to the power of 15<br> Is it correct to say like this?
vodka [1.7K]

Answer:

yes you can.

Step-by-step explanation:

...

7 0
2 years ago
Read 2 more answers
Kelly wants to know the actual value of a house that she wants to buy. What should she do?
Ghella [55]
Kelly should ask the realtor.
5 0
3 years ago
Read 2 more answers
Other questions:
  • The proportion of students at a college who have GPA higher than 3.5 is 19%. a. You take repeated random samples of size 25 from
    14·1 answer
  • A triangle has two sides of lengths 8and 10 what value could the length of the third side be
    5·1 answer
  • Kameryn types 75 words per minute and is just starting to write a term paper. Joe already has 510 words written and types at a s
    12·1 answer
  • Solve the given equation by using the quadratic formula: 2x^2-3x-4=0
    6·2 answers
  • S = the team's score
    12·1 answer
  • A chef planning for a large banquet , thinks that 2 out of every 5 dinner guests will order his soup appetizer. He expects 800 g
    13·1 answer
  • Ill give brainliest to CORRECT ANSWER!
    14·2 answers
  • A feeder at the zoo in shape of a cone has a radius of 3 inches. It holds about 113.04 cubic inches of food. Approximate its hei
    8·1 answer
  • 2 ft
    10·1 answer
  • Need some help!<br> please be specific on how to do it
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!