Answer:
3/2
Step-by-step explanation:
[tex](\frac{16}{81} )^{-\frac{1}{4} }[/tex]
Apply the formula [tex]a^{-b} = \frac{1}{a^b}[/tex]
[tex]\implies \frac{1}{(\frac{16}{81})^{\frac{1}{4}} }[/tex]
Apply the formula [tex]a^{\frac{b}{c} } = \sqrt[c]{a^b}[/tex]
[tex]\implies \frac{1}{\sqrt[4]{(\frac{16}{81})^1 } }[/tex]
[tex]\implies \frac{1}{\frac{2}{3} }[/tex]
[tex]\implies \boxed{\frac{3}{2} }[/tex]
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