Question

This Question is from Indices Chapter !!!!!​

Answer 1

Step-by-step explanation:

$= \sf ( \frac{81}{16} {)}^{ - \frac{3}{4} } \\ = ( \sf \: \frac{16}{81} {)}^{ \frac{3}{4} } \\ \sf \: = \frac{ {16}^{ \frac{3}{4} } }{ {81}^{ \frac{3}{4} } } \\ \sf = \frac{ {(2)}^{ {\cancel4}^{ \times \frac{3}{\cancel4} } } }{ {(3)}^{ {\cancel4}^{ \times \frac{3}{\cancel4} } } } \\ \sf = \frac{ {(2)}^{3} }{ {(3)}^{3} } \\ \sf = \frac{8}{27} \to \: ans.$

Answer 2

Answer:

=(16/81)^3/4

(to remove the negative sign in the power)

=(2^4/3^4)^3/4

=2^4×3/4/3^4×3/4

=2^3/3^3

Final answers

=8/27

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