a) \(\dfrac{-4}{3}\cdot\sqrt{\left(-0.4\right)^2}=\dfrac{-4}{3}\cdot\dfrac{2}{5}=\dfrac{-8}{15}\)
b) \(4\cdot\sqrt{\left(-3\right)^6}+5\cdot\sqrt{\left(-2\right)^4}=4\cdot3^3+5\cdot2^2=108+20=128\)
c) \(\sqrt{144}\cdot\sqrt{\dfrac{49}{64}}\cdot\sqrt{0.01}=12\cdot\dfrac{7}{8}\cdot\dfrac{1}{10}=\dfrac{84}{80}=\dfrac{21}{20}\)
d) \(72:\sqrt{3^2+4^2}-3\cdot\sqrt{5^2-5^2}\)
\(=72:5-3\cdot0=14.4\)
a) -\(\dfrac{4}{3}\sqrt{\left(-0,4\right)^2}\)
= \(-\dfrac{4}{3}\) \(\left|0,4\right|\)
= \(-\dfrac{4}{3}.0,4\)
= \(-\dfrac{8}{15}\)
b) 4\(\sqrt{\left(-3\right)^6}+5\sqrt{\left(-2\right)^4}\)
= 4\(\sqrt{\left(-3^3\right)^2}+5\sqrt{\left(-2^2\right)^2}\)
= 4.27 + 5.4
= 108 + 20
= 128
c) \(\sqrt{144}.\sqrt{\dfrac{49}{64}}.\sqrt{0,01}\)
= 12 . \(\dfrac{7}{8}\) . 0,1
= 1,05
d) 72 : \(\sqrt{3^2+4^2}-3\sqrt{5^2-5^2}\)
= 72 : \(\sqrt{9+16}-3\)
= 72 : 5 - 3
= \(\dfrac{57}{5}\)
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