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xz_007 [3.2K]
3 years ago
8

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

Mathematics
1 answer:
o-na [289]3 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
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Find the 91st term of the arithmetic sequence 28, 8, –12, ...<br><br> Anybody know the answer?
tankabanditka [31]

Answer:

-1772

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

From the sequence

a = 28

d = 8-28 = -12-8 = -20

n =91(since we are looking for the 91st term)

Substrate

T91 = 28+(91-1)(-20)

T91 = 28+90(-20)

T91 = 28-1800

T91 = -1772

Hence the 91st term is -1772

6 0
3 years ago
A track team will run a 4 mile relay race. The coach divided the students into groups of 4. The first runner of each group would
natita [175]
If a track team is running a relay race, shouldnt they be running the same distance? The fourth person who runs is going to be running alot more than everyone else. 
3 0
3 years ago
Which numbers are 9 units from −5 on this number line?
ExtremeBDS [4]

Using the number line, the numbers that are 9 units from -5 are: -14 and 4.

<h3>How to Locate a Number on a Number line?</h3>

To find two numbers that cover the same units from a given point on a number line, we can simply do the following:

  • Count the number of units given backwards/to the left from the point stated to get the first number.
  • Count the number of units given forwards/to the right from the point stated to get the second number.

Thus, we are asked to find the numbers that would be 9 units from -5, using the number line.

Count 9 units backwards/to the left from -5 to get the first number, which is: -14

Count 9 units forwards/to the right from the -5 to get the second number, which is: 4.

Therefore, the numbers that are 9 units from -5 on the number line, are: -14 and 4.

Learn more about number line on:

brainly.com/question/24644930

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8 0
1 year ago
I cannot understand this please help ​
vaieri [72.5K]

Answer:

28 is the answers of the question

7 0
3 years ago
What is the midpoint of the line segment with endpoints (1,-6) and (-3,4)?
kirill115 [55]

Answer:

(-1,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(1+-3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(-6+4)/2 = -2/2 = -1

(-1,-1)

8 0
3 years ago
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