What is the unit for measuring electrical power?

Answer 1

Electrical power is measured in watts.

Answer

Power is measured in watts. There is no such thing as 'electrical power' as power is simply a rate.
volt
The basic unit of electrical power is the watt. If the power is very large, then kilowatts (thousands of watts) or megawatts (millions of watts) are also used.
Power is simply a rate, so you cannot really have 'electrical' power, 'mechanical' power, etc. In the SI system of measurements, power is measured in watts (W).
Electric power is usually measured in watts, kilowatts, or sometimes megawatts. One watt is equal to one volt-ampere or one joule per second.
Electric power is the rate at which an electrical circuit transfers electric energy. The SI unit of power is the watt which is one joule per second.
Wattage, Watts, and (W) are what power is measured in there just different ways to say watts.
"Watts" is the term used to define a quantity of power. If you were looking for a device used to measure power, that is called a wattmeter.

Technically, power is a measure of how fast energy is consumed, so energy can be measured as power multiplied by time.

Answer

There is no such thing as 'electrical' power, as power is simply a 'rate'. Power is a measure of the rate of doing work, transferring energy, or of heat transfer. As energy, work, and heat are all measured in joules, power is measured in joules per second which, in SI, is given a special name: the watt.

Another example of a 'rate' is velocity. We do not describe different times of velocity; neither should we describe different types of power.
Electrical power in SI is measured in watts, or joules per second. It is equal to current times voltage, which is also equal to current squared times resistance. (P=IV and V=IR, where P is power, I is current, V is voltage, and R is resistance.)
The watt is a derived unit of power in the International System of Units (SI), named after the Scottish engineer James Watt. The unit, defined as one joule per second, measures the rate of energy conversion.

Answer 2

The unit of power is the watt . Doesn't matter where the power comes from.