Need some Amp help - a little new to properly powering speakers

I can see that. I figured a fairly expensive flag receiver would produce decent quality power but I guess I should try hooking these up to a 100watt per channel rotel amp I have and see how it sounds.

I gave them a shot this morning with a Rotel RX-1052 stereo receiver i had laying around. 

I know this is also just mid-fi gear but the polk lsim707s sounded much clearer at lower levels with the rotel stereo receiver even though it is rated at 100 watts per channel. The bass was also less flat. Kindof surprising. 

But yes I know I'm playing with kiddie toys here =). It's hard not to bite when there's a $2,800 sale for 2 polk LSIM707s towers, 2 polk LSIM703s, a polk LSIM706C, and a $1,500 yamaha aventage 3070 receiver that some sites rated as the best home theater receiver of 2017. Seemed like a no brainer.  

After reading all of your commends I would have to agree. I think I will be leaving the powering of these speakers alone, and move towards higher end speakers and gear before giving the amp anymore thought. In a few months I will probably Ebay the bookshelves and center off new in box, and work towards a pair of Kefs or Martin Logans. 

@Helomech, dynamics are the more appropriate adjective. There was some mid range and high range loss, but anything below -35DB on the Yamaha receiver (150 watt @8ohm) (which again, is a $1,999msrp receiver), had a LOT of dynamic loss.  

Then when paired with the Rotel Receiver (100watt @8ohm), the dynamics were more apparent at lower volumes. As the Receiver measures its volume in DB, the Rotel does not (0-100). Around 30, the Rotel receiver brought out more dynamics, and mid ranges that sounded lost with the Yamaha, at what was a much lower volume. 

I'm pretty new to this, but overall after doing some DB sensitivity research and other things, it's pretty safe to say that Polk LSIM707s definitely aren't the most responsive towers on the market. 

However, @Charles1dad, I think I'm gonna give a tube amp with them a shot. Seeing as how I'm new, the experimentation would be fun =). 

@Charles1dad, what tube amp would you recommend in or under the $1000 range? I don't mind buying used audio equipment on Ebay. I do however live in Oklahoma and needless to say....there isn't a whole lot of after market trading here. 

Also, I feel the need to thank everyone who has posted their opinions and thoughts here. 

It has helped broaden my understanding. I also read the research on the 1watt charts that were posted. I then looked at the emotiva amps and as someone posted above, I'd basically be throwing the same power that the Yamaha receiver is already producing which would indeed be a total waste. 

It is much appreciated 

@Almarg even more light shed and more difficulty added to the mix =).

Although, this would make sense. The tweeter and small mid woofer appears to be the same exact design as the LSI25s, which are rated at 4ohms.....most likely due to the woofer being self powered. 

So many fun things to play with =D. Now.....to study up on capacitive phase angles at certain critical sound frequencies.....