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 n = X |
| 3 1 = 3 |
Second Law: Any base raised to the power of "Zero" the result is "1."
| 10 0 = 1 | | Formula 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 |
Sixth Law: If we raise a power to another, type the base and exponents multiply
| (10 2) 3 = 10 6 | | Sixth Act |
| (a 1 / 3 ) 3 * 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 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 3 √ 27 / 8 = 3 √ 27 / 3 √ 8 = 3 / 2 |
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