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vaibhav

· started a discussion

· 1 Months ago

not readable (Question: 81383.0 )

questions are not visible sir...it shows some error Unicode /l[44 type please resolve the issue

Question:

The value of \(\big(\cfrac{32}{243})^{\cfrac{4}{5}}\)is?

Options:
A) \(\cfrac{4}{9}\)
B) \(\cfrac{9}{4}\)
C) \(\cfrac{16}{81}\)
D) \(\cfrac{256}{81}\)
Solution:
Ans: (d)  \(\left ( \cfrac {32}{243} \right )^{\cfrac{4}{5}}\) = \(\left \{ \begin{matrix}\left ( \cfrac {2}{3} \right )^{5}\end{matrix} \right \}^{\frac{4}{5}} \)= \(\left ( \cfrac {2}{3} \right )^{5\times\cfrac{(4)}{5}}=\left ( \cfrac {2}{3} \right )^{(4)}\)= \(\cfrac{2^4}{3^4}=\cfrac{16}{81}\)

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