. The unit digit in (795- 358) isb) 6d) 7

1.	. The unit digit in (795- 358) isb) 6d) 7
Answer» If you see the power of 7 then you will notice a sequence: 7¹=7 7²=49 7³=343 7⁴=2401 7⁵=16807 7⁶=117649 And the unit digits keep on repeating as { 7, 9, 3, 1 } It repeats after every 4 powers , So divide 95 by 4 You will get 3 as the remainder . The third number in the series is 3. This implies the unit digit of 7⁹⁵ is 3 . Similarly, do for 3⁵⁸ 3¹=3 3²=9 3³=27 3⁴=81 3⁵=243 And the unit digits keep on repeating as { 3, 9, 7, 1 } Now divide 58 by 3 and get the remainder as 2 Second number in the series is 9. This implies unit digit of 3⁵⁸ is 9 Unit digit of 7⁹⁵−3⁵⁸ = 3−9 = 13-9 (borrow from the previous digit) = 4 Hope this helps ! Thanks ! Please like the solution 👍 ✔️

Answer»

If you see the power of 7 then you will notice a sequence:

7¹=7

7²=49

7³=343

7⁴=2401

7⁵=16807

7⁶=117649

And the unit digits keep on repeating as

{ 7, 9, 3, 1 }

It repeats after every 4 powers , So divide 95 by 4

You will get 3 as the remainder .

The third number in the series is 3.

This implies the unit digit of 7⁹⁵ is 3 .

Similarly, do for 3⁵⁸

3¹=3

3²=9

3³=27

3⁴=81

3⁵=243

And the unit digits keep on repeating as

{ 3, 9, 7, 1 }

Now divide 58 by 3 and get the remainder as 2

Second number in the series is 9.

This implies unit digit of 3⁵⁸ is 9

Unit digit of 7⁹⁵−3⁵⁸ = 3−9 = 13-9 (borrow from the previous digit)

= 4

Hope this helps !

Thanks !

Please like the solution 👍 ✔️

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