Number Properties Puzzle – Challenge 18

This is a great math challenge that hones students' logic and creative thinking skills the fun way.

Number Properties Puzzle – Challenge 18

Challenge:

\(4^{20}+4^{20}+4^{20}+4^{20} =\) ?

A- \(4^{120}\)

B- \(16^{30}\)

C- \(4^{30}\)

D- \(2^{40}\)

E- \(2^{42}\)

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The correct answer is E.

Factorize \(4^{20}\):
\(4^{20}+4^{20}+4^{20}+4^{20} = 4^{20 } (1 + 1 + 1 + 1) = 4^{20 } (4) = 4^{21}\)
\(4^{21} = (2^2)^{21} = 2^{42}\)

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Math and Critical Thinking Challenges: For the Middle and High School Student