The rightmost non-zero digit of the number 302720 is? __

Question

The rightmost non-zero digit of the number $30^{2720}$ is?
___

Options:

Answer: Option A
:

30^{2720} = 3^{2720} \times 10^{2720}

The rightmost non-zero digit of

30^{2720}

will be the digit in the unit's place of

3^{2720}

.
3's power cycle is 3, 9, 7, 1 and cyclicity is 4.
2720 = 680

\times

∴

The digit in the unit's place of

3^{2720}

is 1.

∴

The rightmost non-zero digit of

30^{2720}

is 1.

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