Please solve this sum on your notebook i want correct answer – InterviewSolution

1.

Please solve this sum on your notebook i want correct answer

Answer»

$8$

Step-by-step EXPLANATION:

$(16)^{-\frac{1}{4} }\times4\sqrt{16}$

$=(2^4)^{-\frac{1}{4}} \times 4\sqrt{16}$

⇒ $2^{4\times-\frac{1}{4}}\times4\sqrt{4\times4}$ $($ ∵ $(a^m)^n=a^{mn})$

⇒ $2^{-1}\times4\times4$

⇒ $\frac{1}{2^1} \times16$ $($ ∵ $a^{-m}=\frac{1}{a^m} )$

⇒ $\frac{1}{2} \times16$

⇒ $8$

∴ $(16)^{\frac{1}{4} }\times4\sqrt{16}=8$

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