Eksponentfunkcija

Pakāpju īpašības

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

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

a^0 = 1,\ a \neq 0

a^{\frac{m}{n}} = \sqrt[n]{a^m},\quad a > 0

\dfrac{a^5 \cdot a^{-2}}{a^{-1}} = a^{5-2-(-1)} = {\color{#1865f2} a^{4}}

\dfrac{x^7}{x^3} = \dfrac{x^{\cancel{7}\,4}}{\cancel{x^3}} = {\color{#1865f2} x^4}

(2^3)^2 = 2^{3 \cdot 2} = 2^6 = {\color{#1865f2} 64}

\displaystyle 8^{\frac{2}{3}} = \sqrt[3]{8^2} = \left(\sqrt[3]{8}\right)^2 = 2^2 = {\color{#1865f2} 4}

2^3 \cdot 5^3 = (2 \cdot 5)^3 = 10^3 = {\color{#1865f2} 1000}

a^{-3} \cdot a^5 = a^{-3+5} = {\color{#1865f2} a^{2}}