# Number Properties Puzzle – Challenge 18

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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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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