Cześć!
Szczegółowe wyjaśnienie:
Zapisz w postaci jednej potęgi.
a)
[tex](4 {}^{2} ) {}^{5} \cdot(4 {}^{4} ) {}^{3} = 4 {}^{10} \cdot4 {}^{12} = 4 {}^{10 + 12} = 4 {}^{22} [/tex]
b)
[tex](6 {}^{8} ) {}^{3} : (6 {}^{3} ) {}^{5} = 6 {}^{24} : 6 {}^{15} = 6 {}^{24 - 15} = 6 {}^{9} [/tex]
c)
[tex](( \frac{1}{2} ) {}^{3} ) {}^{3} \cdot(( \frac{1}{2} ) {}^{ 4} ) {}^{4} = ( \frac{1}{2} ) {}^{9} \cdot (\frac{1}{2} ) {}^{16} =( \frac{1}{2} ) {}^{9 + 16} = ( \frac{1}{2} ) {}^{25} = \frac{1}{2 {}^{25} } [/tex]
d)
[tex](0.7 {}^{4} ) {}^{9} : (0.7 {}^{5} ) {}^{6} = 0.7 {}^{9\cdot4} : 0.7 {}^{5 \cdot6} = 0.7 {}^{36} : 0.7 {}^{30} = 0.7 {}^{36 - 30} = 0.7 {}^{6} = ( \frac{7}{10} ) {}^{6} = \frac{7 {}^{6} }{10 {}^{6} } [/tex]
