Tokyo Mew Mew - Mew mew Power are they the same?

No. they are not the same. 4Kids (or FoxKids) changed the title and the names -

Ichigo Momomiya - Zoey Hanson

Minto Aizawa - Corina Bucksworth

Retasu/Lettuce Midorikawa - Bridgette Verdante

Purin Fong - Kikki Benjamin

Zakuro Fujiwara - Renee Roberts

Tokyo Mew Mew - Team Mew Mew

and basically changed the whole plot line and called it mew mew power. Tokyo mew mew is the real one and is soooo much better than mew mew powers. Tokyo mew mew is the origanal and right one.

Plus 4Kids lost the rights to Mew Mew Power because Mia Ikumi (creator of TMM) was so appalled at it. They stopped exactly half-way through at episode 26.