Can I power a 2010 MacBook Pro without the standard power plug?

You need to use an 85W MagSafe 1 power adapter for a 17" MBPro 2010 laptop.

You can use a smaller power adapter to charge the battery if the laptop is off, but you won't be able to run the laptop with a smaller power adapter.

lesliefrombexhill wrote:

/.../ with out the standard power plug

In order to avoid any misunderstanding, could you please clarify?

Do you mean the MagSafe plug that connects to the MacBook Pro or the AC power plug that connects to the wall socket?

If the latter, do you have a "duckhead" AC plug (country/area version) or are you possibly using an earthed/grounded power adapter extension cable?

Identify your Mac power adapter – Apple Support (UK)

If your MagSafe cable or power adapter isn't working – Apple Support (UK)

Using Apple power adapters, cables and duckheads with Apple products – Apple Support (UK)

Power Adapter Extension Cable - Apple (UK)

today, Apple only sells the AC Extensions cord as a US$20 accessory.

This is the complete kit: