Number Properties Puzzle – Challenge 18
Number Properties Puzzle - Challenge 18 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
This is a great math challenge that hones students’ logic and creative thinking skills the fun way.
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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