Exponents

Powers

Keywords: powers

Definition of power:

$a^{n} = \underset{⏟}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

n time

Properties of Exponents:

a^{n} \cdot a^{m} = a^{n + m}

\frac{a^{n}}{a^{m}} = a^{n - m}

{(a^{n})}^{m} = a^{n \cdot m}

Power with the same exponent :

a^{n} \cdot b^{n} = {(a \cdot b)}^{n}

\frac{a^{n}}{b^{n}} = {(\frac{a}{b})}^{n}

Important identities:

a^{0} = 1

a^{- n} = \frac{1}{a^{n}}

{(\frac{a}{b})}^{- n} = {(\frac{b}{a})}^{n}

Polynomials
Special Binomials
Progressions
Arithmetic progression
Geometric progression
Logarithm
Logarithm
Changing the base of a logarithm
Exponents
Powers
Roots
Roots
Proportionality
Direct and Inversely Proportion
Inequalities
Inequalities
Equations
Quadratic equation
Complex numbers
Complex Numbers
Power of complex numbers
Roots of complex numbers
Kamatni račun
Interest calculation,