I am the person that will be helping you today.
When this happens, the best thing to do is to do a cold restart. You can do that by unplugging the power from the laptop, removing the battery, waiting 30 seconds, plugging the battery & charger back in, and turning it on. When you do that, you should be all set.
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I am sorry to hear that. Is the laptop possibly not charged enough. Please, leave it charging for at least one hour and test it once more. Often times, if the battery charge is not high enough, it will not turn on even with the power charger plugged in.
That's why I said that it happens sometimes, not all the time. Different models of laptops work differently; some require the battery and some do not.