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Whether 8 power n, where n is a natural number, can end with zero?
Solution:
Algebra is one of the most fundamental concepts in mathematics which finds its applications in various fields of engineering and science. It deals with various equations with one or more variables.
First, we have to write 8n in the form of prime numbers.
⇒ Hence, 8n = (2 × 2 2)n ---(1)
But we know that to end with zero, a number should be the multiple of 10, and hence, it should be the multiple of both 2 and 5.
But from equation (1), we can see that 8n can't have 5 as its factor.
Hence, we come to the conclusion that 8 power n can't end with zero when n is a natural number.
Whether 8 power n, where n is a natural number, can end with zero?
Summary:
No, 8 power n can't end with zero when n is a natural number.
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