Question

Please solve this sum on your notebook i want correct answer​

Answer 1

Answer:

$8$

Step-by-step explanation:

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

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

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

⇒ $2^{-1}\times4\times4$

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

⇒  $\frac{1}{2} \times16$

⇒ $8$

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

Answer 2

Explanation:

⇒  (16)−1/4×4root16

⇒  (16)-1/4×(16)1/4              [∵x^m× x^n=x^m+n]

⇒  (16)-1/4+1/4

⇒  (16)^0

⇒  1           [∵x^0=1]

∴   (16)^-1/4×4root16 =1