Find a single machine that will do the same job as the given hook-up
a (× 2³) machine followed by (× 2⁻²) machine.

Solution:

Given, two machines are hooked up.

a (× 2³) machine followed by (× 2⁻²) machine.

We have to find a single machine.

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

Stretching power = (× 2³) × (× 2⁻²)

2³ = 2 × 2 × 2

= 4 × 2

= 8

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

2⁻² = 1/2²

= 1/4

Stretching power = 8 × 1/4

= 8/4

= 2

We observe that (× 2¹) does the same work as a (× 2³) machine followed by (× 2⁻²) machine.

✦ Try This: Find a single machine that will do the same job as the given hook-up. A (× 3³) machine followed by (× 3⁻²) machine.

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 158(a)

Find a single machine that will do the same job as the given hook-up a (× 2³) machine followed by (× 2⁻²) machine

Summary:

A single machine that will do the same job as a (× 2³) machine followed by (× 2⁻²) machine is (× 2¹).

☛ Related Questions:

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