Question

find the multiplicative inverse of the following in ( 81/16)^-3/4

Answer 1

(81÷16)⁻³/⁴ ==> ⁴√(81÷16)³ ==> (3÷2)³ ==> 27÷8  Hence, the multiplicative inverse of the number is 8÷27

Answer 2

Hey mate!

Here is yr answer......



$= {( \frac{81}{16} )}^{ \frac{ - 3}{4} } \\ \\ = { (\frac{16}{81}) }^{ \frac{3}{4} } \: \\ \\ = ({ { (\frac{2}{3} )}^{4} })^{ \frac{3}{4} } \\ \\ = ({ \frac{2}{3} })^{4 \times \frac{3}{4} } \\ \\ = ({ \frac{2}{3} })^{3} \\ \\ = \frac{ {2}^{3} }{ {3}^{3} } \\ \\ = \frac{8}{27}$


Hope it helps u...

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