Find the remainder when (42) 442 is divided by 100 Options: A . &nbsp 24 B . &nbsp 34 C . &nbsp 44 D . &nbsp 64 E . &nbsp 74

Answer: Option D : D option (d) Using the last two digits technique ( 42 ) 442 = ( 21 × 2 ) 442 = ( 21 ) 442 × ( 2 ) 442 = ( 21 ) 442 × ( 2 44 ) 10 × 2 2 = _ _ 41 × _ _ 76 × _ _ 04 = _ _ 41 × _ _ 04 = _ _ 64. Option (d)

Find the remainder when (42)442is divided by 100

Question

Find the remainder when (42)⁴⁴²is divided by 100

Answer: Option D
:
D

option (d)

Using the last two digits technique

$(42)^{442} = (21 \times 2)^{442}$

$= (21)^{442} \times (2)^{442} = (21)^{442} \times (2^{44})^{10} \times 2^{2} =__41 \times__76 \times__04 =__41 \times__04 =__64.$ Option (d)

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