exact

To demand and enforce the payment or performance of, sometimes in a forcible or imperious way.

“to exact tribute, fees, or obedience from someone”

To make desirable or necessary.

To inflict; to forcibly obtain or produce.

“to exact revenge on someone”

Precisely agreeing with a standard, a fact, or the truth; perfectly conforming; neither exceeding nor falling short in any respect.

“He paid the exact debt.”

Habitually careful to agree with a standard, a rule, or a promise; accurate; methodical; punctual.

“In my doings I was exact.”

Precisely or definitely conceived or stated; strict.

(of a sequence of groups connected by homomorphisms) Such that the kernel of one homomorphism is the image of the preceding one.

Exactly

“She's wearing the exact same sweater as I am!”