### Exponential

The exponentiation is the mathematical operation which expresses the repeated
multiplication of a number by itself like: b x b x b x b.... = N, what is simplified by the formula:
**b ^{n} = N.**

The element N is the power, b is the base exponent, and n represents the number of times the base (b) is multiplied.

The exponents of the power can be positive or negative, integers or fractions, converted in decimal. When the exponent is negative, the expression b

^{-n}= N is equivalent to {(1/b) x (1/b) x (1/b)...} . When n is a decimal number, the power b

^{n/d}= b

^{D}= N . Example: 12

^{2/5}= 12

^{0.4}= N = 2.702.

The expression b

^{n/d}= N, also correspond to the following form:

^{d}√ b

^{n}= N, where the numerator of the fraction is the exponent of the base and the denominator, a root.

Some examples of powers

a) 12

^{0}= 1 . Any number raised to zero is equal to 1.

b) 12

^{1}= 12. Any number raised to 1 is equal to itself (base).

c) 2

^{-2}= 1/2

^{2}= 0.25 .

d) 144

^{0.5}= 12 .

To calculate the powers insert the exponent and a number. Use the point as decimal separator. Example, for the number 3,152.37 enter 3152.37; The result will be displayed automatically after you click

**"Calculate"**.

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