# For each hook-up (figure d), determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

**Solution:**

Given, the figure represents the work done by each hook-up.

We have to find a single repeater machine.

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

We know that, when two machines are hooked up their stretching power is multiplied.

Stretching power = (× 0.5²) × (× 0.5³)

= 0.5² × 0.5³

Using __law of exponents__,

a^{m} × a^{n} = a^{m + n}

= 0.5^{2 + 3}

= 0.5⁵

Therefore, (× 0.5⁵) is a single repeater machine that will do the same work.

**✦ Try This: **For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

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

**NCERT Exemplar Class 8 Maths Chapter 8 Problem 160(d)**

## For each hook-up (figure d), determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

**Summary:**

(× 0.5⁵) is a single repeater machine that will do the same work as the given hook-up.

**☛ Related Questions:**

- For each hook-up (figure e), determine whether there is a single repeater machine that will do the s . . . .
- Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then . . . .
- Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is brok . . . .

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