to

>preposition
(used for expressing motion or direction toward a point, person, place, or thing approached and reached, as opposed to from):
>They came to the house.
(used for expressing direction or motion or direction toward something) in the direction of; toward:
from north to south.
(used for expressing limit of movement or extension):
He grew to six feet.

(used for expressing contact or contiguity) on; against; beside; upon:
a right uppercut to the jaw; Apply varnish to the surface.
(used for expressing a point of limit in time) before; until:
to this day; It is ten minutes to six. We work from nine to five.
(used for expressing aim, purpose, or intention):
going to the rescue.
(used for expressing destination or appointed end):
sentenced to jail.
(used for expressing agency, result, or consequence):
to my dismay; The flowers opened to the sun.
(used for expressing a resulting state or condition):
He tore it to pieces.
(used for expressing the object of inclination or desire):
They drank to her health.
(used for expressing the object of a right or claim):
claimants to an estate.
(used for expressing limit in degree, condition, or amount):
wet to the skin; goods amounting to $1000; Tomorrow’;s high will be 75 to 80°.
(used for expressing addition or accompaniment) with:
He added insult to injury. They danced to the music. Where is the top to this box?
(used for expressing attachment or adherence):
She held to her opinion.
(used for expressing comparison or opposition):
inferior to last year’;s crop; The score is eight to seven.
(used for expressing agreement or accordance) according to; by:
a position to one’;s liking; to the best of my knowledge.
(used for expressing reference, reaction, or relation):
What will he say to this?
(used for expressing a relative position):
parallel to the roof.
(used for expressing a proportion of number or quantity) in; making up:
12 to the dozen; 20 miles to the gallon.
(used for indicating the indirect object of a verb, for connecting a verb with its complement, or for indicating or limiting the application of an adjective, noun, or pronoun):
Give it to me. I refer to your work.
(used as the ordinary sign or accompaniment of the infinitive, as in expressing motion, direction, or purpose, in ordinary uses with a substantive object.)
Mathematics. raised to the power indicated: