Why?

[dragonmaster0121]

How come 25^(2/3)/25^(1/6)=5?
I get 1/5:
(2/3)-(1/6)=1/2 so 25^(1/2)/25=5/25=1/5

What am I doing wrong?(It's probably a stupid mistake )

 

[soroban]

Hello, dragonmaster0121!

How come 25^2/3/25^1/6 = 5 ?

I get 1/5:

(2/3) - (1/6) = 1/2 . . . This is correct

so: 25^1/2/25 = 5/25 = 1/5 . . . this is not!

You had: . (25^2/3)/(25^1/6) . = . 25^(2/3-1/6) . = . 25^1/2 . . . which is right!

But where are you getting that extra "25" in the denominator?
. . . . . . . . . . . . .__
. . . 25^1/2 . = . √25 . = . 5

 

[dragonmaster0121]

o i see now