Just because you use weights doesn't necessarily mean you are training for strength and power; and if your workout lasts 60 minutes total, whether you are really doing HIIT is debatable.
If you want to train for strength and power, the general recommendation is that you should be fresh during your training. If you are pre-exhausted, you'll rather be training strength-endurance (not to knock that, it's just not the same). Now, if you do want to train strength and power with weights, then the next questions are: 1. do you have the setup for it (barbell, power rack, heavy dumbbells...)? 2. Do you know the basic exercises (= have you been taught how to do them)? 3. If the answer to questions one or two is "no", are you willing to change that?
Complexes etc. as suggested by ROcknrollracing are good, however, they require a certain amount of experience in the involved exercises as well. Complexes were originally designed as a way for experienced lifters to get in more anaerobic work in a manner specific to their sport. They aren't great to learn the involved exercises while doing them, especially since in a complex, your working weight will be limited by your weakest exercise in the complex, and you'll get fatigued as you go along, meaning your form will suffer. If you are not experienced enough to recognize that, you may get in trouble, at least if you don't use weights that are so light it doesn't matter, in which case you are giving away most of the potential of complexes though.