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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}

Keywords: powers

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