Ajay had a 1cm piece of gum. He put it through the repeater machine given below and it came out 1/100,000 cm long. What is the missing value?

Solution:

Given, Ajay had a 1 cm piece of gum.

He put it through the repeater machine and it came out 1/100,000 cm long.

We have to find the missing value.

From the output value, we observe that it is a shrinking machine.

According to the question,

Input = 1 cm

Output = 1/100000 cm

So, 1 × shrinking factor = 1/100000

Shrinking factor = 1/100000

= 1/10⁵

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

So, 1/10⁵ = 10⁻⁵

Therefore, shrinking factor is 10⁻⁵

✦ Try This: The value of [(-2)⁻²]⁻³ is

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 158

Ajay had a 1cm piece of gum. He put it through the repeater machine given below and it came out 1/100,000 cm long. What is the missing value?

Summary:

Ajay had a 1cm piece of gum. He put it through the repeater machine given below and it came out 1/100,000 cm long. The missing value is 5.

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