Question

The unit digit of cube of 63

Answer 1

Answer:

63³= 250,047

Therefore, unit digit is 7

Hope it helps.....

Answer 2

Answer:

The unit digit of the cube of 63 will be 7.          

Step-by-step explanation:

• It can be solved in two ways -

First, Calculate the cube of 63 that is multiplying 63 three times.

The second follows The repetitive pattern of the unit digit.

• First, Calculate the cube of 63

      ⇒ 63³ = 250047

Therefore the unit digit will be 7.

• Second method - Repetition of the unit digit power.

Like the power of 3 follows certain repetitions like

      $3^{1} = 3\\3^{2} = 9\\ 3^{3} = 27\\ 3^{4} = 81\\3^{5} = 243\\ 3^{6} = 729 \\3^{7} = 2187\\ 3^{8} = 6561$

When you see there is the repetition of unit digit after four power like

3, 9, 7, 1 and then again when you see from the 5 power of 3 that is

3, 9, 7, 1.

Hence following this approach, the cube of 63 means we need to multiply 3 3 times or 3 X 3 X 3 = 27, giving us the unit digit as 7.

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