genau
exactly
As an adverb: exactly, precisely, right on the mark.
Das ist genau das, was ich gemeint habe.
That is exactly what I meant.

exact / precise
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exactly
As an adverb: exactly, precisely, right on the mark.
Das ist genau das, was ich gemeint habe.
That is exactly what I meant.

'Genau' can be used as an adjective before a noun or as an unchanging adverb. As an adjective, it is declined; as an adverb, it always stays the same.
Das ist eine genaue Kopie des Originals.
That is an exact copy of the original.
In conversation, 'Genau!' is very commonly used as a short, confirming answer. It means 'Richtig!' (Right!) or 'Das stimmt exakt!' (That's exactly correct!) and can stand on its own.
Du meinst also, wir sollten den anderen Weg nehmen? – Genau!
So you mean we should take the other way? – Exactly!
As an adverb for emphasis, 'genau' often stands directly before the word it specifies. Common combinations are 'genau das' (exactly that), 'genau hier' (right here), 'genau so' (exactly like that), or 'genau richtig' (exactly right).
Das ist genau der Pullover, den ich kaufen wollte.
That is exactly the sweater I wanted to buy.
As an adjective, 'genau' often describes things that require precision. Typical combinations are 'eine genaue Beschreibung' (a precise description), 'genaue Anweisungen' (precise instructions), or 'eine genaue Uhrzeit' (an exact time).
Für die Montage brauchen wir eine genaue Anleitung.
For the assembly, we need precise instructions.
correct / right
'genau' and 'richtig' can both show that something is correct. But 'genau' mainly emphasizes precision: an exact time, an exact number, or a precise description. 'richtig' more often says that something is true, error-free, or appropriate, for example 'eine richtige Antwort' (a correct answer) or 'die richtige Entscheidung' (the right decision). In short answers, both can sound similar: 'Genau!' and 'Richtig!' often express agreement. There is a risk of confusion because both have to do with correctness. Remember: 'genau' is about exactness, while 'richtig' is about truth or suitability.

Kannst du mir bitte die genaue Adresse der Praxis schicken?
Could you please send me the exact address of the practice?
Bei der Prüfung war nur eine Antwort richtig.
In the exam, only one answer was correct.