Question
Repeater Machine:
Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a $(x2^4)$ machine is the same as putting it through a $(x2)$ machine four times. So, if you send a $3\ cm$ piece of wire through a $(x2^4)$ machine, its length becomes $3 \times 2 \times 2 \times 2 \times 2 = 48\ cm$. It can also be written that a base $(2)$ machine is being applied $4$ times.
What will be the new length of a 4cm strip inserted in the machine?
Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a $(x2^4)$ machine is the same as putting it through a $(x2)$ machine four times. So, if you send a $3\ cm$ piece of wire through a $(x2^4)$ machine, its length becomes $3 \times 2 \times 2 \times 2 \times 2 = 48\ cm$. It can also be written that a base $(2)$ machine is being applied $4$ times.
What will be the new length of a 4cm strip inserted in the machine?
