(27/125)^-1/3 evaluate
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Answered by
14
27=3^3
125=5^3
(27/125)^-1/3 =
((3/5)^3)^-1/3
(3/5)^-1
5/3
125=5^3
(27/125)^-1/3 =
((3/5)^3)^-1/3
(3/5)^-1
5/3
gsnarayana:
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Answered by
47
hello!
#ur Ans
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![= > (\frac{27}{125} {)}^{ - \frac{1}{3} } \\ \\ = > now \\ \\ = > ( \frac{125}{27} {)}^{ \frac{1}{3} } \\ \\ = > \sqrt[3]{ \frac{125}{27} } \\ \\ = > \sqrt[3]{ \frac{5 \times 5 \times 5}{3 \times 3 \times 3} } \\ \\ = > \frac{5}{3 \: } ans](https://tex.z-dn.net/?f=+%3D++%26gt%3B++%28%5Cfrac%7B27%7D%7B125%7D++%7B%29%7D%5E%7B+-++%5Cfrac%7B1%7D%7B3%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B+now+%5C%5C++%5C%5C++%3D++%26gt%3B+%28+%5Cfrac%7B125%7D%7B27%7D++%7B%29%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Csqrt%5B3%5D%7B+%5Cfrac%7B125%7D%7B27%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Csqrt%5B3%5D%7B+%5Cfrac%7B5+%5Ctimes+5+%5Ctimes+5%7D%7B3+%5Ctimes+3+%5Ctimes+3%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cfrac%7B5%7D%7B3+%5C%3A+%7D+ans "= > (\frac{27}{125} {)}^{ - \frac{1}{3} } \\ \\ = > now \\ \\ = > ( \frac{125}{27} {)}^{ \frac{1}{3} } \\ \\ = > \sqrt[3]{ \frac{125}{27} } \\ \\ = > \sqrt[3]{ \frac{5 \times 5 \times 5}{3 \times 3 \times 3} } \\ \\ = > \frac{5}{3 \: } ans")
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#ur Ans
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mark as brainlist...bro
good morning both
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