3^a=5 5^a=6 则75^a等于多少?

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 22:55:42

3^a=5 5^a=6 则75^a等于多少?
3^a=5 5^a=6 则75^a等于多少?

3^a=5 5^a=6 则75^a等于多少?
3^a=5
5^a=6,25^a=36
75^a＝3^a×25^a=5×36＝180

3^a=5
5^a=6
75^a=（3*25）^a = 3^a * 25^a = 3^a * 5^(2a) =3^a * (5^a)^2 = 5 * 6^2 = 180

75^a=3^a*5^a*5^a
=5*6*6
=180