Question

Find the remainder when ${42}^{442}$ is divided by 100.

• A. 24
• B. 34
• C. 44
• D. 64

Answer 1

The correct option is D 64

Using the last two digits technique -

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

$=(21{)}^{442}\times (2{)}^{442}=(21{)}^{442}\times (2^{44}{)}^{10}\times 2^2=\_\_41\times \_\_76\times \_\_04=\_\_41\times \_\_04=\_\_64.$