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