Question

Asked Jan 25, 2019

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Prove that the fourth power of any integer has one of the forms 5k or

5k + 1, where k is an integer.

Step 1

We need to prove that any integer has one of the forms *5k* or *5k + 1*, where k is an integer.

Let *p* be an integer, any integer *n* can be written as,

Step 2

Consider first case,

Step 3

Consider next...

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