Question

The value of 12 power 3 power x +18 power 3 power x end with digit

Answer 1

:

Djbdhsksnsbsnslsksnslapapakaloskshdgdhxhjxkdbsvnaksooxhskshdhxydidooejshsospsohdnsslps

Answer 2

Step-by-step explanation:

I have given the detailed explanation of the question. Hope you know cyclicity of exponents. It tells after how many times the unit digit of the no. gets repeated. For e. g

2¹=2

2²=4

2³=8

2⁴=16

2⁵=32

here you can see at 2⁵ the unit digit which we had at the beginning gets repeated i. e 2. So we can say after 4 cycles 2 is again repeated. This is called cyclicity of exponents.

We have to use this property in this question to get our ans.

For better understanding let us take an example. What is the unit digit of 2⁴⁵.For this let us divide 45 by 4( as cyclicity of 2 is 4). After division we shall get a remainder of 1.Now this remainder is used as the exponent of 2 i.e 2¹.The unit digit which will come in in this form will be the unit digit of the question.so 2⁴⁵ ends with 2.

If you got this ot will be very easy to crack the question. Hope you get the answer.

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