State true or false.The lengths of the gold input chains are listed in the chart's left column. Along the top, repeater machines are listed. The additional entries are the results obtained after passing the input chain from the corresponding row via the repeater device in the corresponding column. Input Length Repeater Machine

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2
3

×
3
3

×
5
2

5401351252165450648162150

Question

State true or false.The lengths of the gold input chains are listed in the chart's left column. Along the top, repeater machines are listed. The additional entries are the results obtained after passing the input chain from the corresponding row via the repeater device in the corresponding column. Input Length   Repeater Machine

×
    2
    3

×
    3
    3

×
    5
    2

5401351252165450648162150

Accepted Answer

It is given a column,Input Length   Repeater Machine

×
    2
    3

×
    3
    3

×
    5
    2

5401351252165450648162150 The lengths of the gold input chains are listed in the left column of the given table's graphic. The output we obtain as a result of passing the row's input chain through the repeater machines is described in more detail in the following table. The filled table is as follows:Input Length   Repeater Machine

×
    2
    3

×
    3
    3

×
    5
    2

5

⇒5×
      2
      3

⇒5×(2×2×2)

⇒5×8

⇒40

⇒5×
      3
      3

⇒5×(3×3×3)

⇒5×27

⇒135

⇒5×
      5
      2

⇒5×(5×5)

⇒5×25

⇒125

2

⇒2×
      2
      3

⇒2×(2×2×2)

⇒2×8

⇒16

⇒2×
      3
      3

⇒2×(3×3×3)

⇒2×27

⇒54

⇒2×
      5
      2

⇒2×(5×5)

⇒2×25

⇒50

6

⇒6×
      2
      3

⇒6×(2×2×2)

⇒6×8

⇒48

⇒6×
      3
      3

⇒6×(3×3×3)

⇒6×27

⇒162

⇒6×
      5
      2

⇒6×(5×5)

⇒6×25

⇒150

Therefore, the given table is true.Hence option (1) is correct.

Input Length	Repeater Machine
	$× 23$	$× 33$	$× 52$
5	$⇒ 5 × 23 ⇒ 5 × (2 × 2 × 2) ⇒ 5 × 8 ⇒ 40$	$⇒ 5 × 33 ⇒ 5 × (3 × 3 × 3) ⇒ 5 × 27 ⇒ 135$	$⇒ 5 × 52 ⇒ 5 × (5 × 5) ⇒ 5 × 25 ⇒ 125$
2	$⇒ 2 × 23 ⇒ 2 × (2 × 2 × 2) ⇒ 2 × 8 ⇒ 16$	$⇒ 2 × 33 ⇒ 2 × (3 × 3 × 3) ⇒ 2 × 27 ⇒ 54$	$⇒ 2 × 52 ⇒ 2 × (5 × 5) ⇒ 2 × 25 ⇒ 50$
6	$⇒ 6 × 23 ⇒ 6 × (2 × 2 × 2) ⇒ 6 × 8 ⇒ 48$	$⇒ 6 × 33 ⇒ 6 × (3 × 3 × 3) ⇒ 6 × 27 ⇒ 162$	$⇒ 6 × 52 ⇒ 6 × (5 × 5) ⇒ 6 × 25 ⇒ 150$

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