What are the last two digits of 3844 47 ? Options: A . &nbsp54 B . &nbsp34 C . &nbsp44 D . &nbsp64

Answer: Option D : D ( 3844 ) 47 = ( . . .44 ) 47 = ( 11 × 4 ) 47 = ( 11 ) 47 × ( 2 ) 94 = . .71 × ( 2 ) 90 × 2 4 = . .71 × . .24 × 16 ( ∵ ( 2 10 ) o d d n u m b e r always ends in 24) The last two digits of the above product = 64.

What are the last two digits of 384447?

Question

What are the last two digits of

3844^{47}

Options:

A . 54

B . 34

C . 44

D . 64

Answer: Option D
:
D

(3844)^{47} = (. . .44)^{47} = (11 \times 4)^{47} = (11)^{47} \times (2)^{94} = . .71 \times (2)^{90} \times 2^{4} = . .71 \times . .24 \times 16

(

∵ (2^{10})^{o d d n u m b e r}

always ends in 24)
The last two digits of the above product = 64.

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