Exponents - Powers and Roots
The laws of fractional and integer exponents.
Integer Exponents
an am = an + m (1)
an / am = an - m (2)
(an)m = (am)n = an m (3)
(ab)m = am bm (4)
(a / b)m = am / bm (5)
p an ± q an = (p ± q) an (6)
a-n = 1 / an (7)
Fractional Exponents
am/n = (am)1/n = (a1/n)m (8)
p (a)1/n ± q (a)1/n = (p ± q) a1/n (9)
(a b)1/n = a1/n b1/n (10)
a1/n / b1/n = (a / b)1/n (11)
(amx)1/nx = (am)1/n (12)
(-a)1/2 = i a1/2 (13)
where
i = imaginary number
Related Topics
-
Basics
Basic engineering data. SI-system, unit converters, physical constants, drawing scales and more. -
Mathematics
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents
-
Algebraic Expressions
Principal algebraic expressions formulas. -
Decimal System Prefixes
Prefix names used for multiples and submultiples units. -
Differential Calculus
Derivatives and differentiation expressions. -
Fractions
Law of fractions -
Geometric Shapes - Areas
Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids .. -
Law of Cosines
One side of a triangle when the opposite angle and two sides are known. -
Law of Sines
Calculate the angles in a generic triangle. -
Logarithms
The rules of logarithms - log10 and loge for numbers ranging 1 to 1000. -
Numbers - Square, Cube, Square Root and Cubic Root Calculator
Calculate square, cube, square root and cubic root. Values tabulated for numbers ranging 1 to 100. -
Numbers - Standard Form, Scientific and Engineering Notation
The difference between standard, scientific and engineering number notation.