Respuesta :
The equivalent expressions of [tex]x^\frac94[/tex] are [tex]\sqrt[4]{x^9}[/tex], [tex](x^9)^\frac 14[/tex] and [tex](\sqrt[4]{x})^9[/tex]
The expression is given as:
[tex]x^\frac94[/tex]
Rewrite the expression as roots, as:
[tex]\sqrt[4]{x^9}[/tex]
Express 9/4 as 9 * 1/4.
So, we have:
[tex](x^9)^\frac 14[/tex]
The root expression [tex]\sqrt[4]{x^9}[/tex] can be rewritten as:
[tex](\sqrt[4]{x})^9[/tex]
Hence, the equivalent expressions of [tex]x^\frac94[/tex] are [tex]\sqrt[4]{x^9}[/tex], [tex](x^9)^\frac 14[/tex] and [tex](\sqrt[4]{x})^9[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832