Dna polymerase i and dna polymerase iii both have but only dna polymerase i has 5'–3' polymerase activity; 3'–5' polymerase activity 5'–3' exonuclease activity; 3'–5' exonuclease activity 3'–5' exonuclease activity; 5'–3' exonuclease activity 3'–5' polymerase activity; 5'–3' polymerase activity 5'–3' polymerase activity; 3'–5' exonuclease activity

1) 5'-3' polymerase activity

2) 5'-3' exonuclease activity

Explanation:

Both enzymes act during DNA replication in prokaryotes.

DNA polymerase I is in charge of removing primers (5'-3' exonuclease activity) and completing those free spaces with DNA (5'-3' polymerase activity).  

DNA polymerase III is the main enzyme in charge of DNA elongation (5'-3' polymerase activity) with also proof reading activity (3'-5' exonuclease activity).

With this in mind we can complete the sentence:

DNA polymerase I and DNA polymerase III both have 5'-3' polymerase activity but only DNA polymerase I has 5'-3' exonuclease activity.