explodieren
to explode
To burst suddenly and with great force due to a chemical reaction or high internal pressure.
Die alte Fabrikhalle ist bei dem Brand explodiert.
The old factory building exploded during the fire.

to explode
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to explode
To burst suddenly and with great force due to a chemical reaction or high internal pressure.
Die alte Fabrikhalle ist bei dem Brand explodiert.
The old factory building exploded during the fire.

The perfect tense of 'explodieren' (to explode) is always formed with 'sein', because it describes a sudden change of state. So it is 'ist explodiert', not 'hat explodiert'.
Die Gasflasche ist wegen der großen Hitze explodiert.
The gas cylinder exploded because of the intense heat.
You can recognize the meaning from the subject: physical objects (bomb, engine) explode literally. Abstract things (prices, costs) rise sharply. People explode with anger or laughter.
Die Nachfrage nach den neuen Konsolen ist förmlich explodiert.
Demand for the new consoles has practically exploded.
In the figurative sense, 'explodieren' (to explode) is often used for economic or statistical data. Typical combinations are 'die Kosten explodieren' (costs explode), 'die Preise explodieren' (prices explode), or 'die Zahlen explodieren' (the numbers explode).
Nach der Krise sind die Energiekosten für viele Haushalte explodiert.
After the crisis, energy costs exploded for many households.
When a person 'explodiert' (explodes), the triggering emotion is indicated with the preposition 'vor' (+ dative). The most common phrases are 'vor Wut explodieren' (to explode with anger) or, less commonly, 'vor Lachen explodieren' (to explode with laughter).
Mein Chef ist heute Morgen vor Wut explodiert, weil der Bericht nicht fertig war.
My boss exploded with anger this morning because the report wasn't finished.
to rise / climb
'steigen' and 'explodieren' can both be used with numbers, costs, or quantities. 'steigen' only says that something is increasing; that can be slow, normal, or strong. 'explodieren' is figurative and much stronger: it means that something rises suddenly and very sharply. Learners may confuse the words because both fit with prices or numbers. If you want to stay neutral, use 'steigen'. If you want to emphasize that the change is extreme, 'explodieren' fits.

Nach der Krise sind die Kosten für Energie fast explodiert.
After the crisis, energy costs almost exploded.
Die Preise für Lebensmittel steigen langsam weiter.
Food prices continue to rise slowly.