the representation or notation for expressing the product of an integer with itself several times is known from this notation

Dear student,

Exponents provide a special way of writing repeated multiplication. Numbers written in this way have a specific form, with each part providing important information about the number. 
Exponential notation is a special way of writing repeated factors. Exponential notation has two parts. One part of the notation is called the base. The base is the number that is being multiplied by itself. The other part of the notation is the exponent, or power. This is the small number written up high to the right of the base. The exponent, or power, tells how many times to use the base as a factor in the multiplication.
example:

Writing repeated multiplication in exponential notation can save time and space. Consider the example 5 • 5 • 5 • 5. We can use exponential notation to write this repeated multiplication as 54. Since 5 is being multiplied, it is written as the base. Since the base is used 4 times in the multiplication, the exponent is 4. The expression 5 • 5 • 5 • 5 can be rewritten in shorthand exponential notation as 5and is read, “five to the fourth power” or “five to the power of 4.”
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