Strategy for the last digit shortcut questions

[VishalH915]

Hello,

I just want to confirm if this strategy also works Everytime for problems similar to The last digit shortcuts(6th Edition, Strategy Guide 1, Pg 125, Problem 2)
Let's say this was changed to (19^3)*(3^3)*(17^2).

Can I do this
(1) 19*19*19 = X...9 (9 is the unit digit)
(2) 3*3*3 = 27 (7 is the unit digit)
(3) 17*17 = X...9 (9 is the unit digit)

Unit digit for (1) and (2) is 3
Unit digit for (1), (2), (3) is 3*9 => 7

Basically I want to avoid calculating 9*9*7 to get the unit digit.

Thank you!

[RonPurewal]

what is "this strategy"?

what, specifically, are you trying to generalize?

please be specific, thanks. (remember, you should make ALL posts so that they will be understandable to readers who do not have the books present.)