Odpowiedź:
a (⁴√16)³ = 2⁵ = 32
b( ∛27)² = 3² = 9
c (∛¹₈)⁵ = (¹₂)⁵ = ¹₃₂
d (√¹₂₅)³ = ( ¹₅)³ = ¹₁₂₅
e (⁴√¹₈₁)³ = (¹₃)³ = ¹₂₇
Szczegółowe wyjaśnienie:
1.
[tex]a) \ 16^{\frac{5}{4}} = (2^{4})^{\frac{5}{4}} =2^{5} = 32\\\\b) \ 27^{\frac{2}{3}} = (3^{3})^{\frac{2}{3}} = 3^{2} = 9\\\\c) \ 8^{-\frac{5}{3}} = (2^{3})^{-\frac{5}{3}} = 2^{-5} = (\frac{1}{2})^{5} = \frac{1}{32}\\\\d) \ 25^{-\frac{3}{2}} = (5^{2})^{-\frac{3}{2}}=5^{-3}=(\frac{1}{5})^{3}=\frac{1}{125}\\\\e) \ 81^{-\frac{3}{4}}=(3^{4})^{-\frac{3}{4}}=3^{-3} =(\frac{1}{3})^{3}=\frac{1}{27}[/tex]
