A googol is written as the number 1 followed by 100 zeros. To express this number using exponents, we need to consider that each zero represents a multiplication by 10.
Here's a step-by-step solution:
1. Let's understand the definition:
- A googol is defined as a 1 followed by 100 zeros.
2. Numerical representation:
- In numerical form, it is written as: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
3. Expressing as a power:
- To write a number followed by zeros in exponential form, we count the number of zeros.
- Since a googol has 100 zeros after the 1, we can represent this as [tex]\(10^{100}\)[/tex].
Therefore, a googol is written as [tex]\(10^{100}\)[/tex]. This notation is the simplest way to represent such a large number efficiently using exponents.
