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
xz_007 [3.2K]
2 years ago
8

Simplify (6^5/7^3)^2

Mathematics
1 answer:
o-na [289]2 years ago
6 0
Simplify the following:
(6^5/7^3)^2

7^3 = 7×7^2:
(6^5/(7×7^2))^2

7^2 = 49:
(6^5/(7×49))^2

7×49 = 343:
(6^5/343)^2

6^5 = 6×6^4 = 6 (6^2)^2:
((6 (6^2)^2)/343)^2

6^2 = 36:
((6×36^2)/343)^2

 | | 3 | 6
× | | 3 | 6
 | 2 | 1 | 6
1 | 0 | 8 | 0
1 | 2 | 9 | 6:
((6×1296)/343)^2

6×1296 = 7776:
(7776/343)^2

(7776/343)^2 = 7776^2/343^2:
7776^2/343^2

 | | | | 7 | 7 | 7 | 6
× | | | | 7 | 7 | 7 | 6
 | | | 4 | 6 | 6 | 5 | 6
 | | 5 | 4 | 4 | 3 | 2 | 0
 | 5 | 4 | 4 | 3 | 2 | 0 | 0
5 | 4 | 4 | 3 | 2 | 0 | 0 | 0
6 | 0 | 4 | 6 | 6 | 1 | 7 | 6:
60466176/343^2

 | | | 3 | 4 | 3
× | | | 3 | 4 | 3
 | | 1 | 0 | 2 | 9
 | 1 | 3 | 7 | 2 | 0
1 | 0 | 2 | 9 | 0 | 0
1 | 1 | 7 | 6 | 4 | 9:

Answer: 60466176/117649
You might be interested in
Complete the missing value/help?
blagie [28]

What it is basically asking is if Y = -4, find the value of x in the equation 6x + 7y = 4x + 4y

To solve this you just need to plug in -4 for y and solve for x

6x + 7(-4) = 4x + 4(-4)

6x - 28 = 4x - 16

Now isolate x by adding 28 to both sides

6x - 28 + 28 = 4x - 16 + 28

6x = 4x + 8

and subtract 4x from both sides

6x - 4x = 4x - 4x + 8

2x = 8

divide both sides by 2

2/2x = 8/2

x = 4

x = 4, y = -2

Answer: (4, - 2)

Hope it helps :)

Bransliest would be appreciated

5 0
2 years ago
Read 2 more answers
32% as a fraction in lowest terms
TiliK225 [7]
32% means 32/100

32/100 = 16/50 = 8/25, which is the lowest you can get because you can no longer divide it to get a whole number.

A; 8/25.
3 0
2 years ago
According to the school survey 12% of the students at Rockwood high school speak Spanish there are 36 students at the school who
Svet_ta [14]
36 - 12%
x - 100%

x=\frac{100\%\cdot36}{12\%}\\
x=300

6 0
2 years ago
Read 2 more answers
Pls help for number 6
Vlad1618 [11]
A: 45x + 30y = 1350
Since we don’t know how many adults and children are in the group, we use x and y

b: x-intercept= 30 y-intercept=45
To find the x-intercept you need to isolate the variable. 45x/45 = x
Then you do the same thing to the other side. 1350/45 = 30
So x=30
Same thing with the y-intercept.
30y/30 = y 1350/30 = 45
y=45 (Not really sure what it means by “what they represent” but I thinks it’s that there are 30 adult tickets and 45 children tickets )

c: so our points are (30,0) and (0,45) so you would graph that.
To find how many children tickets were bought if there were 20 adult tickets just look at the photo I put. I don’t know how to explain this.


Hope this helps

7 0
2 years ago
What is the length of pr ? PLEASE HELP
Karolina [17]
The angles in the triangles are the same, so you know the triangles are similar. Sides PQ and AB correspond as do sides PR and AC. Because the triangles are similar, you know that
  PR/AC = PQ/AB
  PR/24 = 5/20
Multiplying this equation by 24 gives
  PR = 24*(5/20) = 6

The appropriate choice is ...
  C. 6
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
    11·1 answer
  • Identify the slope and y−intercept of the line with the equation 18x − 6y = 12.
    11·1 answer
  • Evaluate the expression for r=3<br> 15+r=
    9·2 answers
  • What is 5 3/5 written as a decimal
    6·1 answer
  • What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
    14·1 answer
  • For each sequence find the first 4 terms and 10th term 2n squared
    14·1 answer
  • -2 2 the second power<br>​
    14·1 answer
  • Does anyone have an answer key to this?
    10·1 answer
  • Name all possible transversals of lines m and n in the picture below​
    11·1 answer
  • Please answer immediately
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!