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The expression is an illustration of the summation notation

The expanded form of the summation notation [tex]\sum\limits^{4}_{i = 0} i^4[/tex] is  0^4 + 1^4 + 2^4 + 3^4+4^4

How to determine the expanded form

The summation notation is given as:

[tex]\sum\limits^{4}_{i = 0} i^4[/tex]

The above summation notation represents the sum of the numbers raise to the power of 4, from 0 to 4

So, we have:

[tex]\sum\limits^{4}_{i = 0} i^4 = 0^4 + 1^4 + 2^4 + 3^4+4^4[/tex]

Hence, the expanded form of [tex]\sum\limits^{4}_{i = 0} i^4[/tex] is  0^4 + 1^4 + 2^4 + 3^4+4^4

Read more about summation notation at:

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