Cześć!
Szczegółowe wyjaśnienie:
17. Wykonaj potęgowanie:
a)
[tex](3ab {}^{2} ) {}^{3} = 3 {}^{3} a {}^{3} \cdot \: (b {}^{2} ) {}^{3} = 27a {}^{3} b {}^{6} [/tex]
b)
[tex]( \frac{1}{2} a {}^{2} b {}^{3} ) {}^{4} = ( \frac{1}{2} ) {}^{4} \cdot(a {}^{2} ) {}^{4} \cdot(b {}^{3} ) {}^{4} = \frac{1}{16} a {}^{8}b {}^{12} [/tex]
c)
[tex]( \frac{2ab {}^{5} }{c {}^{2} } ) {}^{2} = \frac{(2ab {}^{5} ) {}^{2} }{(c {}^{2} ) {}^{2} } = \frac{4a {}^{2}b {}^{10} }{c {}^{4} } [/tex]
d)
[tex]( \frac{a {}^{5}b {}^{6} }{3x {}^{2} } ) {}^{5} = \frac{(a {}^{5} b {}^{6} ) {}^{5} }{(3x {}^{2} ) {}^{5} } = \frac{a {}^{25}b {}^{30} }{243x {}^{10} } [/tex]
