The term exponent it has various uses and meanings. By exponent we can understand a person, a thing or a number that exposes; in the first two cases, expose is a verb that makes reference to present something, to make it known, while the mathematical concept is related to empowerment. Let’s look at some example sentences: “Your uncle is the exponent that exemplifies how a person, with a little luck, can reach the top”, “This liquid will be the exponent of how heat can alter the state of a substance”, “To solve the product of a series of powers with the same base, it is possible to add their exponents and make a single power”.
An exponent is, on the other hand, a prototype, the model of a virtue or quality. It is a thing or a person representative of the most characteristic of some group: “The mezzo-soprano Cecilia Bartoli is the best exponent of the Italian voice”, “The exponent of tango was, is and will be Carlos Gardel”, “The Eiffel Tower is a faithful exponent of French architecture”.
In the field of mathematics, it is known as empowerment to the operation that involves a series of multiplications of a given number a certain number of times; the first component is called the base and is represented by the letter to, while the second is called an exponent and is written as a n. In this case, an exponent is an algebraic expression or a simple number which denotes the power to which another expression or another number must be raised (the base).
The exponent should be placed in the upper right part of the element that you want to elevate. The way to read an operation of this type is «high an«, Although it can also be said«to raised to the n«. On the other hand, it is important to note that in the case of exponents two Y 3, the correct readings are «high squared” Y “high to the bucket«, Respectively.
Empowerment often creates confusion for outsiders. math, but it is a very simple operation, since it is based on multiplication, which, in turn, starts from the addition. If we take the example 2 cubed (that is, to the third power), the steps to follow are as follows: multiply by 2 by itself and then the result by two; this gives us 8. Why have we done two steps if the exponent is 3? Actually, 3 steps have taken place, if not 4.
Since our exponent (3) is a Natural number, that is, it belongs to the set of numbers that we use to count things in the real world, it indicates the number of times that the base (2) will appear in a multiplication where will be the only factor. In this way, 2 cubed becomes 2 x 2 x 2, which results in 8. From this new representation it can be deduced that 2 to the 1 it is two, and the same happens in all cases.
On the other hand, it should be mentioned that any number other than 0 which is raised to 0 results 1. Instead, 0 raised to 0 it is a particular case that is not defined.
As mentioned in previous paragraphs, if you want to multiply powers that have the same base, you can perform the sum its exponents and convert the expression into a single power; for example: 2 to the 4 + 2 to the cube can be transformed into 2 to the 7th power. When you have one power of another, how would it be? (2 to the 6th power) to the 7th power, it can be simplified by multiplying both exponents (6 x 7) and performing a single operation, which would leave us 2 to the 42nd.