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 × aⁿ = 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 . . . .