Question on: JAMB Mathematics - 2010
Evaluate (\left(\frac{81}{16}\right)^{\frac{-1}{4}}\times 2^{-1})
A
1/3
B
3
C
6
D
1/6
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Correct Option: A
(\left(\frac{81}{16}\right)^{\frac{-1}{4}}\times 2^{-1}=\frac{1}{\left(\frac{81}{16}\right)^{\frac{1}{4}}}\times \frac{1}{2}\
=\left(\frac{16}{81}\right)^{\frac{1}{4}}\times \frac{1}{2}\
=\left(\frac{2}{3}\right)^{4\times \frac{1}{4}}\
=\frac{2}{3}\times \frac{1}{2}\
=\frac{1}{3})
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