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E Xponent , term used in mathematics to indicate the number of times a quantity is multiplied by itself. An exponent is usually written as a small number or letter in the upper right of expression, as x 2, read "x the square "and represents x · x, (x + and ) 3, reads " x + and cubed" and means ( x + and ) (x + and ) (x + and ) and 4 sen x , which reads "within x to the fourth power "and states that within x be multiplied by itself four times. In the calculations, the exponents are certain rules called laws of exponents. That is, if m and n are positive integers,

X ⁿ =
n = Exponent, X = Base

First Law: Any base raised to the number "1" is the same base.

10 1 = 10		Formula First Law X n = X
3 1 = 3

Second Law: Any base raised to the power of "Zero" the result is "1."

10 0 = 1		Formula Second Law X 0 = 1
20 0 = 1

Third Law: Any base raised to a power equals negative 1 between the power base but positive.

10 -2 = 1 / 10 2 = 0.01		Formula Third Law X -n = 1 / X n
4 -1 = 1 / 4 = 0.25
-10 60 = 1 / 60 10 = 1.6538171687920201866246676489018e-18

Fifth Law: If we divide powers with the same basis, enter the base and the exponents are subtracted.

0 3 / 10 = 10 3-1 = 10 2		Formula Fifth Law X n / m X = X nm
10 1 / 2 / 10 5 / 3 = 10 -7 / 6 1 / 2 - 5 / 3 = 3-10/6 = -7 / 6

Sixth Law: If we raise a power to another, type the base and exponents multiply

(10 2) 3 = 10 6		Sixth Act Formula (X m) n = X n • m
(a 1 / 3 ) 3 = a 1 / 3 • 3 / 1 = 3 / 3 = 1 * on 1 and is not written as

Seventh Law: nth root To remove a power base is placed and placed by the division or ratio exponent of the exponent of the power between the radical index.

√ 10 6 = 10 6 / 2 = 10 3		Formula Septima Act n √ x m = X m / n
Raíz cubica de 27 a la 6 ta = 27 2 3 √ 27 6 = 27 2

* Note: To extract nth root or elevate an nth power number rational operates separately numerator and denominator.

(2 / 3) 2 = 2 2 / 3 2 = 4 / 9		Formula (a / b) 2 = a 2 / b 2
cube root of 27 = Root between 8 to 27 between Cubic Cubic Root of 3 = 8 means 3 √ 27 / 8 = 3 √ 27 / 3 √ 8 = 3 / 2

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FRACTALS FRACTALS

A fractal is an object semigeométrico basic structure, fragmented, or irregular, is repeated on different escalas.1 The term was proposed by the mathematician Benoit Mandelbrot in 1975 and derives from the Latin scud, which means broken or fractured. Many natural structures are fractal.

A fractal is a geometric object attribute the following characteristics: 2

* It is too irregular to be described in traditional geometric terms .---
* has details on any scale of observation.
* is self-similar (exact, approximate or statistical.)
* Your Hausdorff-Besicovitch dimension is strictly greater than its topological dimension.
* is defined by a simple recursive algorithm.

just not one of these characteristics to define a fractal. For example, the real line is not considered a fractal, because despite being a self-similar object no other features required.

A natural fractal is a natural element that can be described by fractal geometry. Clouds, mountains, circulatory system, the lines costeras3 or snowflakes are natural fractals. This representation is approximate, since the properties ascribed to the ideal fractal objects such as infinite detail, have limits on the natural world.

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