Question

若y/x=9/10,则(1-y/x)^99*(x/y-x)^98的值为

Answer 1

y/x=9/10

设

y=9k

x=10k

则

(1-y/x)^99*(x/y-x)^98

=(1-9k/10k)^99*(10k/(10k-9k))^98

=(1/10)^99*(10)^98

=(1/10)^98*(10)^98*(1/10)

=(10/10)^98*(1/10)

=1^98*(1/10)

=1/10