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Chapter 0: Problem 137

If \(n\) is a natural number, what does \(b^{n}\) mean? Give an example with your explanation.

Short Answer

Expert verified
The expression \(b^n\), where \(n\) is a natural number, denotes that \(b\) is to be multiplied by itself \(n-1\) times. For example, when \(b=2\) and \(n=3\), the expression becomes \(2^3\) which equals to 8, since 2 is multiplied by itself two times.

Step by step solution

01

Understand the concept of 'Powers'

In mathematics, if we have an expression of the form \(b^n\), where \(b\) and \(n\) are any real numbers and \(n\) is a natural number, it represents an operation called 'exponentiation'. This operation means that \(b\) is to be multiplied by itself \(n-1\) times.
02

State the Example and Explain

Let's select \(b=2\) and \(n=3\) as an example. In this case, we would have \(b^n\) becoming \(2^3\). This operation implies that we are multiplying 2 by itself (2*2*2) two times. After performing the operation, we get \(2^3 = 8\). This is how exponentiation works.

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Most popular questions from this chapter

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