Question

已知2的m次方等于1,2的n+1次方等于6,求代数式2的2m-n次方的值

Answer 1

2^m=1

2^(n+1)=2^n×2^1=6

2^n=3

2^(2m-n)

=2^2m÷2^n

=(2^m)^2÷2^n

=1^2÷3

=1/3