99个3相乘等于多少99个3相乘等于多少

解答:①3⁹⁹=(3⁹)¹¹=(3⁵×3⁴)¹¹=19683¹¹=(19683³)³×19683²=7625597484987³×387420489

=4.43426488×10³⁸×387420489

=1.71792507×10⁴⁷;

②设A=3⁹⁹,因lg3=0.47712125472,则lgA=lg3⁹⁹,

⇔lgA=99lg3=99×0.47712125472=47.23850042173,

⇔A=10^47.23850042173即3⁹⁹=10⁴⁷·²³⁸⁵ºº⁴²¹⁷³