`a)` `-0,8\sqrt{(-0,125)^2}`
`=-0,8 . |-0,125|=-0,8.\ 0,125=-0,1`
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`b)` `\sqrt{(-2)^6}=\sqrt{2^6}`
`=\sqrt{(2^3)^2}=|2^3|=2^3=8`
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`c)` `5\sqrt{(-2)^4}`
`=5\sqrt{2^4}=5\sqrt{(2^2)^2}`
`=5.|2^2|=5.2^2=5.4=20`
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`d)` `-4/3 . \sqrt{(-3)^6}+5\sqrt{(-2)^4}`
`=-4/3 . \sqrt{3^6}+5\sqrt{2^4}`
`=-4/3. \sqrt{(3^3)^2}+5\sqrt{(2^2)^2}`
`=-4/3 . |3^3|+5.|2^2|`
`=-4/3 . 3^3+5.2^2=-4. 3^2+20=-16`
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`e)` `3\sqrt{(-1,5)^2}-4\sqrt{(-0,5)^2}`
`=3.|-1,5|-4.|-0,5|=3.1,5-4.0,5`
`=4,5-2=2,5`
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`f)` `2\sqrt{(-5)^6}+3\sqrt{(-2)^8}`
`=2\sqrt{5^6}+3\sqrt{2^8}`
`=2\sqrt{(5^3)^2}+3\sqrt{(2^4)^2}`
`=2.|5^3|+3.|2^4|=2.5^3+3.2^4`
`=3.\ 125+3.16=423`
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`g)` `\sqrt{\sqrt{(-5)^8}}`
`=\sqrt{\sqrt{5^8}}=\sqrt{\sqrt{(5^4)^2}}`
`=\sqrt{|5^4|}=\sqrt{5^4}=\sqrt{(5^2)^2}`
`=|5^2|=5^2=25`