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Question-77451




Question Number 77451 by BK last updated on 06/Jan/20
Commented by MJS last updated on 06/Jan/20
anyway the question is stupid. there is only  one power of 7 in 50!
$$\mathrm{anyway}\:\mathrm{the}\:\mathrm{question}\:\mathrm{is}\:\mathrm{stupid}.\:\mathrm{there}\:\mathrm{is}\:\mathrm{only} \\ $$$$\mathrm{one}\:\mathrm{power}\:\mathrm{of}\:\mathrm{7}\:\mathrm{in}\:\mathrm{50}! \\ $$
Answered by mr W last updated on 06/Jan/20
7=1×7  14=2×7  21=3×7  ...  42=6×7  49=7×7  totally 8 times 7  ⇒7^8  is in 50!
$$\mathrm{7}=\mathrm{1}×\mathrm{7} \\ $$$$\mathrm{14}=\mathrm{2}×\mathrm{7} \\ $$$$\mathrm{21}=\mathrm{3}×\mathrm{7} \\ $$$$… \\ $$$$\mathrm{42}=\mathrm{6}×\mathrm{7} \\ $$$$\mathrm{49}=\mathrm{7}×\mathrm{7} \\ $$$${totally}\:\mathrm{8}\:{times}\:\mathrm{7} \\ $$$$\Rightarrow\mathrm{7}^{\mathrm{8}} \:{is}\:{in}\:\mathrm{50}! \\ $$

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