What is the unit digit place of number38 power20

1.	What is the unit digit place of number38 power20
Answer» For this, you need to understand the repetition or cyclicity of unit digits coming in the powers of number 8Powers of 8 = 8, 64, 512, 4096, 32768, 262144, 2097152, 16777216 and so on...Unit digits of powers of 8 = 8, 4, 2, 6, 8, 4, 2, 6, ..........So the repetition cycle is = {tex}\\large8\\to4\\to2\\to6{/tex}\xa0So the cyclicity quantity is\xa04.So,{tex}for \\space38^{20}\\\\We \\space have\\space to\\space do =\\frac{20}4 ,where \\space remainder=0\\\\The \\space cyclicity\\space unit\\space digit\\space number\\space for\\space this\\space is\\space 6.{/tex}

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