Cześć!
Szczegółowe wyjaśnienie:
Zadanie
Zapisz w postaci jednej potęgi
a)
[tex]32 \cdot16 \cdot8 {}^{3} = 2 {}^{5} \cdot2 {}^{4} \cdot2 {}^{9} = 2 {}^{5 + 4 + 9} = 2 {}^{18} [/tex]
b)
[tex]8 \cdot16 {}^{3} \cdot32 {}^{2} = 2 {}^{3} \cdot2 {}^{12} \cdot2 {}^{10} = 2 {}^{3 + 12 + 10} = 2 {}^{25} [/tex]
c)
[tex]25\cdot5 {}^{2} \cdot125 {}^{3} = 5 {}^{2} \cdot5 {}^{2} \cdot5 {}^{9} = 5 {}^{2 + 2 + 9} = 5 {}^{13} [/tex]
d)
[tex]5 {}^{3} \cdot25 {}^{3} \cdot125 = 5 {}^{3} \cdot5 {}^{6} \cdot5 {}^{3} = 5 {}^{3 + 6 + 3} = 5 {}^{12} [/tex]
