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# Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a (× 2⁴) machine is the same as putting it through a (× 2) machine four times. So, if you send a 3 cm piece of wire through a (× 2⁴) machine, its length becomes 3 × 2 × 2 × 2 × 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 4 cm strip inserted in the machine?

**Solution:**

Given, a repeater machine is a hypothetical machine which automatically enlarges items several times.

Sending a piece of wire through a (× 2⁴) machine is the same as putting it through a (× 2) machine four times.

We have to find the new length of a 4 cm strip inserted in the machine.

Given, 3 × 2⁴ = 3 × 2 × 2 × 2 × 2

= 3 × 16

= 48 cm

Similarly, 4 × 2⁴ = 4 × 2 × 2 × 2 × 2

= 4 × 16

= 64 cm

Therefore, the new length will be 64 cm.

**✦ Try This: **Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a (× 2⁴) machine is the same as putting it through a (× 2) machine four times. What will be the new length of a 5 cm strip inserted in the machine?

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 12

**NCERT Exemplar Class 8 Maths Chapter 8 Problem 149**

## Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a (× 2⁴) machine is the same as putting it through a (× 2) machine four times. So, if you send a 3 cm piece of wire through a (× 2⁴) machine, its length becomes 3 × 2 × 2 × 2 × 2 = 48 cm. It can also be written that a base (2) machine is being applied 4 times.

**Summary:**

Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a (× 2⁴) machine is the same as putting it through a (× 2) machine four times. So, if you send a 3 cm piece of wire through a (× 2⁴) machine, its length becomes 3 × 2 × 2 × 2 × 2 = 48 cm. It can also be written that a base (2) machine is being applied 4 times. The new length of a 4 cm strip inserted in the machine will be 64 cm.

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