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# In a repeater machine with 0 as an exponent, the base machine is applied 0 times.

(a) What do these machines do to a piece of chalk?

(b) What do you think the value of 6⁰ is?

You have seen that a hookup of repeater machines with the same base can be replaced by a single repeater machine. Similarly, when you multiply exponential expressions with the same base, you can replace them with a single expression.

**Solution:**

Given a repeater machine with 0 as an exponent, the base machine is applied 0 times.

(a) We have to find the work done by the machine to a piece of chalk.

A repeater machine is a hypothetical machine which automatically enlarges items several times.

Using the law of exponents,

a⁰ = 1, where a ≠ 0

From the given machines,

×3⁰ = 1

×13⁰ = 1

×29⁰ = 1

Therefore, these machines do nothing to a piece of chalk.

(b) We have to find the value of 6⁰.

Using the __law of exponents__,

a⁰ = 1, where a ≠ 0

So, 6⁰ = 1

Therefore, the required value is 1.

**✦ Try This: **In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do these machines do to a piece of chalk?

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

**NCERT Exemplar Class 8 Maths Chapter 8 Problem 153**

## In a repeater machine with 0 as an exponent, the base machine is applied 0 times. (a) What do these machines do to a piece of chalk, (b) What do you think the value of 6⁰ is? You have seen that a hookup of repeater machines with the same base can be replaced by a single repeater machine. Similarly, when you multiply exponential expressions with the same base, you can replace them with a single expression

**Summary:**

In a repeater machine with 0 as an exponent, the base machine is applied 0 times. (a) These machines do nothing to a piece of chalk, (b) The value of 6⁰ is 1.

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