Power of Variable at Algebra Den

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Home >> Polynomials >> Algebraic Expression >> Variables >> Power of Variable >>

Power of Variable

Coefficient Of Variable Power of Variable Multiplication of Variables

Before you study this concept, you are advice to read:

What are Exponents ?
What are the Laws of Exponents ?

As you have studied earlier in topic Exponents that:
10⁸ means 10 is base and 8 is called power or exponent of number 10

Similarly, in algebra:
a⁵ means that a is variable and 5 is the power of variable a
This also means that variable (a) is multiplied five times by itself.

And algebraic number 'x' has 1 as its power.
Or we can say that x¹ = x
This means that when a variable has 1 as its power, its power is ignored and only variable is written as such.

Also, power of variable is also similar to what you studied in various laws of exponents like a^m X aⁿ = a^m+n or a^m aⁿ = a^m-n or a^m X b^m = (ab)^m et...

Example 1: In algebraic expression: x¹⁰
x is a variable and 10 is the power of variable x

Observe the following picture:

Example 2: In algebraic expression :2x + 3p⁴ - 10y⁵
x, p and y are variable of given algebraic expression having 1, 4 and 5 as their respective powers.
Observe the following picture: