Examples of power
Power can refer to various concepts, both in the field of physics, philosophy , mathematics and in other branches. In general it is a word that denotes strength, ability, power and work .
In mathematics
Power is the representation of the successive multiplication of a number by itself. It is a way of writing a product of a number by itself and the times that multiplication will be done. The exponent is the number of times to be multiplied.
Example :
5 ^{2} is the power, which is equal to 5 x 5 .
The result is 25 .
Another example in reverse would be: 2 x 2 x 2 x 2 x 2 x 2 , whose representation is 2 ^{6 .}
There are also other types of this representation in mathematics:
 Power set: it is the set that integrates all possible subsets of a given set.
 Equipotence: given two sets A and B , they are equipotent between them if there exists a function from A in B such that for each element y of B , there exists exactly one element x of A such that f (x) = y.1.
 Power of a set: it is the set that is defined from the properties of the Cartesian product.
 Power point: the result that links the lengths of segments of straight lines passing through a die and cut to a fixed point circumference.
 Power of a test: statistical probability that the alternative hypothesis being true, rejects the null hypothesis.
Examples of power in mathematics

 4 ^{2} = 4 x 4 = 16
 3 ^{3} = 3 x 3 x 3 = 27
 (−3) ^{2} = (−3) x (−3) = 9
 0.5 ^{2} = 0.5 x 0.5 = 0.25
 (2 ^{2} ) ^{3} = 2 ^{2x} ( ^{3} ) = 2 ^{6} = 1/2 ^{6} = 1/64 (as a fraction, to eliminate the negative sign of the exponent)
In physics power is called the amount of work done by a body in a unit of time.
The formula is P = W / t , where W is work (in joules) and t is time (in seconds).

 In optics : it is the inverse of the focal length of a lens.
 Power stage: an audio amplifier.
 Acoustic power: it is the amount of energy emitted through sound waves per unit of time.
 Electrical power: amount of electrical energy that is transported in a unit of time. Its value is expressed in watts.
 Mechanics: it is the amount of force applied to a body as a function of the speed with which it is exerted. Its formula is P = F xv , where F is force and v is velocity.
Examples of power in physics
 You want to lift a 90 kg piano to a seventh floor at a height of 15 meters. It takes 6 seconds for the lift to raise the piano. Calculate the power of the crane.
FORMULA: P = W / t. Where T is work, which must be calculated because it is unknown.
W = F xdx cos α = 90 x 9.8 x 15 x 1 = 13.230 N
So the power of the crane will be:
P = 13.230 / 6 = 2205 W
 Calculate the power dissipated by a 5 Ω resistor if a current of 5 A.
In this case, it is necessary to calculate the electrical power, for which the following formula is used:
FORMULA: P = R ∙ I ^{2}
5 x 5 ^{2} = 125 W.