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
Answer: 12
<u>Step-by-step explanation:</u>
The LCM of 48 and 28 is 336
It would take 336 ÷ 28 = 12 revolutions of gear B
and 336 ÷ 48 = 7 revolutions of gear A
to match up the arrows.
It will take 100 weeks to build the tower.
Since Donald Trump wants to build a 100 meter high tower as quickly as possible with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall, and using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are, to determine what is the shortest amount of time (weeks) that it will take to build the tower, the following calculation must be performed:
- Time per block x total blocks = Total time
- 1 week x 100 = X
- 100 weeks = X
Therefore, it will take 100 weeks to build the tower.
Learn more in brainly.com/question/2263981
Please share the piecewise function (either as a graph or as a definition written in math symbols).
