Question

Pls solve in best answer to understand

Answer 1

Answer:

Please refer to the attachment.

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Answer 2

Answer:

$\sqrt{x^{-1} y}\cdot \sqrt{y^{-1} z}\cdot \sqrt{z^{-1} x}=1$

Step-by-step explanation:

$LHS=\sqrt{x^{-1} y}\cdot \sqrt{y^{-1} z}\cdot \sqrt{z^{-1} x}$

$=\sqrt{x^{-1}y \cdot y^{-1}z \cdot z^{-1} x}$

$\sqrt{(x^{-1} x)\cdot (y^{-1} y)\cdot (z^{-1} z) }$

$=\sqrt{1\times 1\times 1}$

$=1\\=RHS$

Therefore,

$\sqrt{x^{-1} y}\cdot \sqrt{y^{-1} z}\cdot \sqrt{z^{-1} x}=1$

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