Equivalent expressions are expressions of different forms that have the same value
The equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
The equation is given as:
[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]
Multiply the fraction by 810x^2.
So, we have:
[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{10x \times 81x^2}{3x^3\times 81x^2}}[/tex]
Evaluate the products
[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
Hence, the equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/9603710
