What is the second last digit of $2564^{345}$ ?

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Solution

The correct option is A 2
$64^{345} = 2^{2070} = (2^{10})^{207}$

This is $(2^{10})^{o d d p o w e r}$ . It will end with 24. The second last digit is 2.

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What is the second last digit of 2564345?

The correct option is A 264345=22070=(210)207 This is (210)odd power. It will end with 24. The second last digit is 2.

What is the second last digit of $2564^{345}$ ?

The correct option is A 2
$64^{345} = 2^{2070} = (2^{10})^{207}$

This is $(2^{10})^{o d d p o w e r}$ . It will end with 24. The second last digit is 2.