Exponential Notation:
* Purpose: Represents a number as a base raised to an exponent.
* Format: Any number can be written in this form, e.g., 2⁵, 10⁸, 0.5⁻².
* Examples:
* 16 can be written as 2⁴
* 1/8 can be written as 2⁻³
Scientific Notation:
* Purpose: Expresses a number as a product of a coefficient between 1 and 10 (inclusive) and a power of 10.
* Format: Always has the form "a x 10ⁿ" where 1 ≤ a < 10 and n is an integer.
* Examples:
* 3,400,000 is written as 3.4 x 10⁶
* 0.00025 is written as 2.5 x 10⁻⁴
Key Differences:
* Scope: Scientific notation is a specific type of exponential notation that follows the format described above.
* Range: All numbers can be written in exponential notation, but only numbers within a specific range can be written in scientific notation.
In short: Scientific notation is a subset of exponential notation, specifically used for representing very large or very small numbers in a concise way.
