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# For each hook-up (figure a), 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 = (× 7³) × (× 7²)

= 7³ × 7²

Using __law of exponents__,

a^{m} × a^{n} = a^{m + n}

= 7^{3 + 2}

= 7⁵

Therefore, (× 7⁵) 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(a)**

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

**Summary:**

(× 7⁵) is a single repeater machine that will do the same work as the given hook-up.

**☛ Related Questions:**

- For each hook-up (figure b), determine whether there is a single repeater machine that will do the s . . . .
- For each hook-up (figure c), determine whether there is a single repeater machine that will do the s . . . .
- For each hook-up (figure d), determine whether there is a single repeater machine that will do the s . . . .

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