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
arlik [135]
4 years ago
7

Simplify the given expression. Assume that no variable equals 0. (14x20y10 / 28x12y14)4

Mathematics
2 answers:
liq [111]4 years ago
7 0

Answer:

\frac{1}{2^{4}*14^{3} *x^{28}*y^{46}}

Step-by-step explanation:

To simplify the expression \frac{14x^{20}y^{10}}{(2*14*x^{12} y^{14} )^{4}} first we need to raise every member of the denominator to the given exponent, number 4

Remember that (x^{b} )^{c} =z^{b*c} where 'a' and 'b are natural numbers (any numbers you want

\frac{14x^{20}*y^{10}}{2^{4}*14^{4}*x^{48}*y^{56}}

Where we can make some operations, remember that \frac{x^{a} }{x^{c} }=x^{a-c}

\frac{1}{2^{4}*14^{3} *x^{28}*y^{46}}

We have assumed that nor x, nor y equals 0 in any moment, since if that would happen, we ca not simplify anything bacause error math 0/0.

larisa [96]4 years ago
5 0

Answer:

\frac{1}{43904x^{28}y^{46}}

Step-by-step explanation:

Simplify:

\frac{14x^{20}y^{10}}{(28x^{12}y^{14})^4}

Use this property in the denominator:

(x^y)^z=x^{yz}

And multiply each exponent in the denominator by 4:

\frac{14x^{20}y^{10}}{(28^4x^{48}y^{56})}

Use these properties:

x^{-n}=\frac{1}{x^n}

x^yx^z=x^{y+z}

And combine powers:

\frac{14x^{20-48}y^{10-56}}{28^4} =\frac{14x^{-28} y^{-46}}{28^4} =\frac{14}{28^4 x^{28} y^{46}}

Divide the constants:

\frac{14}{28^4} =\frac{14}{614656} =\frac{1}{43904}

Therefore, the simplied expression is:

\frac{1}{43904x^{28}y^{46}}

You might be interested in
Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4).
notsponge [240]

Answer:

Step-by-step explanation:

Here's a completely valid trick for finding the equation of this new line:

Start with the given  2x + 4y = 6.  Replace that '6' with 'C.'  We need to find C.  To do this, replace x with 6 and y with 4 and calculate C:

2(6) + 4(4) = C, or 12 + 16 = C.  Thus, C = 28, and the desired equation is

2x + 4y = 28, or (in simplified form)    x + 2y = 14

3 0
3 years ago
Please help me with question 5
Fantom [35]
Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.

AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.
 
7 0
3 years ago
What total length of ribbon is needed to Line the two long sides of the hat?
frozen [14]

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

          = 3×2 + 5

          = 11

Side 2 = (5x + 1)

          = 5×2 + 1

          = 11

Side 3 = (2x + 1)

          = 2×2 + 1

          = 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

6 0
4 years ago
Read 2 more answers
2 In the diagram below of AABC, TV || BC, AT = 5,
ludmilkaskok [199]

Answer:

14

Step-by-step explanation:

AT/TB = AV/VC

5/7 = 10/VC

VC = 14

7 0
2 years ago
The first class had a kids in it, the second had b kids in it, and
kap26 [50]

Answer:

Try abc ÷ 2

Step-by-step explanation:

F Class = a

S Class = b

T Class = c

a + b + c = abc

Two buses = 2

abc ÷ 2

4 0
3 years ago
Other questions:
  • Erica used friendly numbers to find 43-19 she added 1 to 19 and subtracted 1 from 43 what is Erica's error
    13·2 answers
  • On a multiple-choice test, a student has four possible choices for each question. the student receives 1 point for a correct ans
    9·1 answer
  • how can an expression written in either radical form or rational exponent form be rewritten to equivalent forms?
    14·1 answer
  • I need help. I suck at Geometry
    11·2 answers
  • What is 30.04 as a percent
    9·2 answers
  • That is it? Help me please
    5·2 answers
  • Giving 5 stars and brainlist to whoever answers this correct!!!!
    8·1 answer
  • Solve 7/4x + 5/6=4/3x - 3 for x
    5·1 answer
  • Identify which integer is closer to zero on a number line. -12 or 10?<br> -12 or 10
    13·2 answers
  • Writing lan's car can go 217 miles on 7 gallons of gas. During a drive last weekend, lan used
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!