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### This Is a Certified Answer

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As we know that the unit digit of any power of 6 is six and unit digit of 2 to the power 4 is 6. so we can rewrite above expression as:-

Here also unit digit of any power of 6 is 6. So, we come to end by the following expression:-

Here unit digit of 6*6*2 is 2.

*SO THE UNIT DIGIT OF is 2*### This Is a Certified Answer

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To find the unit digit, find the pattern by checking some smaller powers

12¹ = 1

12² = 14

12³ = 172

12⁴ = 2073

12⁵ = 24883

The unit digit started repeating

We need to find the unit digit of 12⁵³.

Remainder of (53 ÷ 4) is 1. So 12⁵³ will have same unit digit as 12¹.

12¹ = 1

**2**12² = 14

**4**12³ = 172

**8**12⁴ = 2073

**6**12⁵ = 24883

**2**

12¹ and 12⁵ have same unit digit.The unit digit started repeating

**after**4th (=5-1) power.We need to find the unit digit of 12⁵³.

Remainder of (53 ÷ 4) is 1. So 12⁵³ will have same unit digit as 12¹.

**So unit digit of 12⁵³ is 2.**