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What is the unit digit place …

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What is the unit digit place of number38 power20

    • Posted by Hardev Singh Sandhu 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Rajan Kumar Pasi 6 years, 6 months ago

    For this, you need to understand the repetition or cyclicity of unit digits coming in the powers of number 8
    Powers 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} 

    So the cyclicity quantity is 4.

    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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