Answer
$1^{3}+2^{3}+3^{3}+4^{3}=1+8+27+64=100$
Work Step by Step
We expand the sum:
$\sum_{k=1}^{4}k^{3}=1^{3}+2^{3}+3^{3}+4^{3}=1+8+27+64$
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