Understanding the Exponentiation of Variables | Explained with x^n

x^n

The term “x^n” in mathematics represents the exponentiation of a variable x to the power of n

The term “x^n” in mathematics represents the exponentiation of a variable x to the power of n. In other words, it signifies x raised to the nth power.

When x is raised to a positive integer power, such as x^2 or x^3, it means that x is multiplied by itself multiple times. For instance, x^2 is equal to x multiplied by x, and x^3 is equal to x multiplied by x multiplied by x.

If x is raised to the power of 1, the result is simply x itself, as any number raised to the power of 1 equals itself.

When x is raised to the power of 0, it is conventionally defined as 1. This means that x^0 equals 1 for any value of x.

In summary, x^n denotes x raised to the power of n, where x is multiplied by itself n times if n is a positive integer, x^1 equals x, and x^0 equals 1.

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