Potęga iloczynu i ilorazu

1. Liczby rzeczywiste

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

\left(\frac{a}{b}\right)^{m}=\frac{a^{m}}{b^{m}}

Na przykład:

(5\cdot 7)^5 = 5^5\cdot 7^5

(3x)^3 = 3^{3}x^3 = 27x^3

\left(\frac{3}{2}\right)^{4} = \frac{3^{4}}{2^{4}} = \frac{81}{16}

6^{3}\cdot \left(\frac{1}{3}\right)^{3} = \left(6\cdot \frac{1}{3}\right)^{3} = 2^3 = 8

\frac{24^{6}}{12^{6}} = \left(\frac{24}{12}\right)^{6} = 2^{6} = 64