# Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?

**Solution:**

Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine.

She thinks she can do the job with a single repeater machine.

We have to determine a single repeater machine that can do the job.

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 = (× 2³) × (× 3³)

= 2³ × 3³

We know, 2³ = 8

Also, 3³ = 27

= 8 × 27

= 216

We know, 216 = 6³

= 6³

Therefore, (× 6³) is a single repeater machine that will do the same work.

**✦ Try This: **Shana has an order from a golf course designer to put palm trees through a (× 3³) machine and then through a (× 2²) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?

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

**NCERT Exemplar Class 8 Maths Chapter 8 Problem 161**

## Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?

**Summary:**

Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine. She thinks she can do the job with a single repeater machine. (× 6³) is a single repeater machine that she should use.

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