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Consider the numbers 4^n, where n is a n...

Consider the numbers `4^n`, where n is a natural number. Cheek whether there is any value of n for which `4^n`ends with the digit zero.

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To determine whether the number \( 4^n \) ends with the digit zero for any natural number \( n \), we can follow these steps: ### Step 1: Understand the problem We need to check if \( 4^n \) can end with the digit 0. A number ends with the digit 0 if it is divisible by 10. ### Step 2: Factorize 10 The number 10 can be factored into its prime components: \[ ...
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