已知2^a=3,8^b=5,求2^(2a-6b)的值

问题描述:

已知2^a=3,8^b=5,求2^(2a-6b)的值

2^(2a-6b)
=2^2a÷2^6b
=(2^a)^2÷(8^n)^2
=3^2÷5^2
=9/25

2^(2a-6b)
=[2^(a-3b)]^2
=(2^a÷2^3b)^2
=(2^a÷8^b)^2
=(3÷5)^2
=9/25