18 in Exponential Form
In mathematics, exponential form is a way of expressing a number as a power of a base number. In this article, we will explore how to write 18 in exponential form.
What is Exponential Form?
Exponential form is a notation used to express a number as a power of a base number. It is written in the form:
a^n
Where 'a' is the base and 'n' is the exponent or power. For example, 2^3 represents 2 to the power of 3, or 2 multiplied by itself three times.
Writing 18 in Exponential Form
To write 18 in exponential form, we need to find the prime factors of 18. The prime factors of 18 are 2 and 3.
18 = 2 × 3 × 3
Now, we can write 18 in exponential form as:
18 = 2^1 × 3^2
In this notation, 2 is the base and 1 is the exponent, and 3 is the base and 2 is the exponent.
Other Ways to Express 18
There are other ways to express 18 in exponential form, depending on the base used. For example, we can use 6 as the base:
18 = 6^1 × 3^1
Or, we can use 9 as the base:
18 = 9^1 × 2^1
Conclusion
In conclusion, 18 can be written in exponential form as 2^1 × 3^2. This notation allows us to express a number as a power of a base number, making it easier to perform mathematical operations and simplify expressions.
