Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
Simplified value of $(16)^{-\frac{1}{4}}\times\sqrt[4]{16}$ is:
✓
$0$
B
$1$
C
$4$
D
$16$
✓
Answer
Correct option: A.
$0$
$(16)^{-\frac{1}{4}}\times\sqrt[4]{16}=(2^4)^{-\frac{1}{4}}\times(2^4)^\frac{1}{4}$
$=2^{-1}\times2^1=\frac{1}{2}\times2=1$
Hence, the correct answer is option $(a).$
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