Find a single repeater machine that will do the same work as each hook-up in figure (d).

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 = (×3^y) × (×3^y)

= 3^y × 3^y

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 3

m = y

n = y

m + n = y + y

= 2y

So, 3^y × 3^y = 3^2y

Therefore, (×3^2y) does the same work as the given hook up.

✦ 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 159(d)

Find a single repeater machine that will do the same work as each hook-up in figure (d).

Summary:

A single repeater machine that will do the same work as the given hook-up is (×3^2y).

☛ Related Questions:

• Find a single repeater machine that will do the same work as each hook-up in figure (e)
• Find a single repeater machine that will do the same work as each hook-up in figure (f)
• For each hook-up (figure a), determine whether there is a single repeater machine that will do the s . . . .