Question

Write the following as the power of 10.
                   100000000

Answer 1

Hint:
In this question, we are required to represent a given number as the power of 10. To do that we will count the number of zeroes in the given number. Then, to represent the number as a power with base 10, raise the power, i.e., the number of zeroes to base 10.

Complete step by step answer:
In the given question, we are asked to write the given number as the power of 10. This implies that we are provided with base 10. And we have to determine the power. This can be done by counting the zeroes. Because the number of times 10 is multiplied with itself, it gets that many zeroes. And the number of times of multiplication is power.
To count the number of zeros we can insert the commas at regular intervals and make sets.
Let us insert the commas in our given number by making the sets of three digits. We will proceed from right towards the left. Hence, our number will become–
100000000 = 100,000,000
Now, we can see that there are three sets formed. These three sets have three digits each. This implies that we have 9 digits in total with us. The digits comprise only 1 and 0 and there is only a single 1. This means that the other eight digits are 0.
Now, we know that to represent any number as a power of ten we count the number of zeroes and raise the base 10 to that power.
Hence, 100000000 as a power of 10 can be written as \[{10^8}\].

Note:
 The numbers which are written in the form of a base and a power, where the base is raised to a certain power are known as the exponential numbers. Exponents are used to represent very large numbers or quantities. When the numbers are so big that it is practically not possible to write them completely, we use the concept of exponents to ease our calculations. Here in this question, a large number is given, so to write the correct power of 10 we must count the number of zeros carefully or else we will end up writing wrong power.