how to make hair lighter ??

teelea
hi, i recently bleached and dyed my hair purple about 6 weeks ago however the bleach didn't work very well on my ends because of how many times it's been dyed and damaged and bleached so i'd rather not bleach it again but i want it to become lighter... or is bleach the only way? the bleach and dye worked fine at the top bc it was never dyed or bleached before. i want my ends to be lighter but idk what to do.