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3-120-6-60-express-in-your-answer-in-3-significant-figure-




Question Number 66928 by mr mondo last updated on 20/Aug/19
(3^(120) /6^(60) )  express in your answer in  3 significant figure
$$\frac{\mathrm{3}^{\mathrm{120}} }{\mathrm{6}^{\mathrm{60}} } \\ $$$$\mathrm{express}\:\mathrm{in}\:\mathrm{your}\:\mathrm{answer}\:\mathrm{in} \\ $$$$\mathrm{3}\:\mathrm{significant}\:\mathrm{figure} \\ $$
Answered by mr W last updated on 21/Aug/19
(3^(120) /6^(60) )  =((3^(60) ×3^(60) )/(2^(60) ×3^(60) ))  =(3^(60) /2^(60) )  =((3/2))^(60)   ≈36 768 468 716.933
$$\frac{\mathrm{3}^{\mathrm{120}} }{\mathrm{6}^{\mathrm{60}} } \\ $$$$=\frac{\mathrm{3}^{\mathrm{60}} ×\mathrm{3}^{\mathrm{60}} }{\mathrm{2}^{\mathrm{60}} ×\mathrm{3}^{\mathrm{60}} } \\ $$$$=\frac{\mathrm{3}^{\mathrm{60}} }{\mathrm{2}^{\mathrm{60}} } \\ $$$$=\left(\frac{\mathrm{3}}{\mathrm{2}}\right)^{\mathrm{60}} \\ $$$$\approx\mathrm{36}\:\mathrm{768}\:\mathrm{468}\:\mathrm{716}.\mathrm{933} \\ $$
Answered by Mr Jor last updated on 21/Aug/19
36700000000
$$\mathrm{36700000000} \\ $$

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