[tex]a)~~(\dfrac{1}{8} )^{7} =( (\dfrac{1}{2} )^{3} ) ^{7} =(\dfrac{1}{2} )^{3\cdot 7} =(\dfrac{1}{2} )^{21} \\\\b)~~36^{4} =(6^{2} )^{4} =6^{2\cdot 4} =6^{8} \\\\c)~~5^{50} =5^{2\cdot 25} =(5^{2} )^{25} =25^{25} \\\\d)~~(3^{3} )^{18} =3^{3\cdot 18 } =3^{54} =3^{2\cdot 27} =(3^{2} )^{27} =9^{27} \\\\e)~~81^{30} =(9^{2} )^{30} =9^{2\cdot 30} =9^{60} =9^{5\cdot 12} =(9^{5} )^{12} \\\\f)~~(\dfrac{1}{2} )^{24} =(\dfrac{1}{2} )^{4\cdot 6}=((\frac{1}{2} )^{4} )^{6} =(\dfrac{1}{16} )^{6}[/tex]
Korzystam ze wzoru:
[tex](x^{n} )^{m} =x^{n\cdot m}[/tex]
