[tex]a) \ (\frac{ab}{2})^{3} =\frac{(ab)^{3}}{2^{3}} = \frac{a^{3}\cdot b^{3}}{8}\\\\b) \ (ab^{2})^{4} =a^{4}\cdot(b^{2})^{4} = a^{4}\cdot b^{8}\\\\c) \ (\frac{3a^{4}b}{4})^{6} = \frac{(3a^{4}b)^{6}}{4^{6}} =\frac{3^{6}\cdot(a^{4})^{6}\cdot b^{6}}{4^{6}}=\frac{729 \ \cdot a^{24}\cdot b^{6}}{4096}[/tex]
Wzory:
[tex](\frac{a}{b})^{n} = \frac{a^{n}}{b^{n}}, \ \ b\neq 0\\\\(a\cdotb)^{n} = a^{n}\cdot b^{n}\\\\(a^{m})^{n} = a^{m\cdot n}[/tex]
