Đáp án:
`b) - 108`
`c) 125`
Giải thích các bước giải:
`b) - 4` $\sqrt[]{(-3)^{6}}$
`= - 4` $\sqrt[]{3^{6}}$
`= - 4 .` ($\sqrt[]{3^{3}})^{2}$
`= - 4 . 27`
`= - 108`
Vậy `- 4` $\sqrt[]{(-3)^{6}}$ `= - 108`
`c) 5`$\sqrt[]{\sqrt[]{(-5)^{8}}}$
`= 5`$\sqrt[]{\sqrt[]{5^{8}}}$
`= 5`($\sqrt[]{\sqrt[]{5^{4.2}}})$
`= 5`($\sqrt[]{5^{2.2}})$
`= 5 .` $5^{2}$
`= 125`
Vậy 5$\sqrt[]{\sqrt[]{(-5)^{8}}}$ `= 125`
Bài 1:
b) $-4\sqrt{(-3)^6}$ $=$ $-4.|(-3)^{3}|$ $=$ $-108$
c) $5\sqrt{\sqrt{-5}^8}$ = $5\sqrt{(-5)^4}$ $=$ $5. {(-5)^2}$ $=$ $125$
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