Equivalent expressions are expressions of equal value
The equivalent expression is: [tex]\mathbf{\frac{2\sqrt {2}}{x^3}}[/tex]
The expression is given as:
[tex]\mathbf{\sqrt{\frac{8}{x^6}}}[/tex]
Split
[tex]\mathbf{\sqrt{\frac{8}{x^6}} = \frac{\sqrt 8}{\sqrt{x^6}}}[/tex]
Expand
[tex]\mathbf{\sqrt{\frac{8}{x^6}} = \frac{\sqrt {4 \times 2}}{\sqrt{x^6}}}[/tex]
Evaluate the roots
[tex]\mathbf{\sqrt{\frac{8}{x^6}} = \frac{2\sqrt {2}}{x^3}}[/tex]
Hence, the equivalent expression is: [tex]\mathbf{\frac{2\sqrt {2}}{x^3}}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/24242989
