Question

Unit place of 2^125 is​

Answer 1

Answer:

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#Here's ur answer...☆☆☆

Step-by-step explanation:

${2}^{1} = ...2 remainder = 1\\ {2}^{2} = ...4 \: remainder = 2 \\ {2}^{3} = ...8 remainder = 3\\ {2}^{4} = ...6 \: remainder = 0 \\ ..... {2}^{5} = ...2...same \: cycle \: repeats \: again$

$cyclicity = 4$

$power \: of \: 2 \: given = 125 \\ remainder = \frac{125}{4} = 1(unit \: digit = 2)$

Hope this helps you...

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Answer 2

Answer:

we will do it by following some basic steps

2^2 =4

2^3=8

2^4=16

2^5=32

the sequence 2,4,8,6 is repeating

divide 125 by 4

we get remainder 1

so unit digit is 2

hope it helped