Question

化简2(2的n+3)次方分之2的n+4次方-2(2的n次方)

Answer 1

2(2的n+3)次方分之2的n+4次方-2(2的n次方)

=[2^(n+4)-2*2^n]/[2*2^(n+3)]

=[2^(n+4)-2^(n+1)]/2^(n+4)

=2^(n+4)/2^(n+4)-2^(n+1)/2^(n+4)

=1-2^(n+1-n-4)

=1-2^-3

=1-1/8

=7/8