Write an equivatent expression for the following rational exponents:

Ask by Ward Turnbull. in the United States

Mar 21,2025

Question

Write an equivatent expression for the following rational exponents: $$ \begin{array}{lll}	ext { a. } x^{3 / 5} & 	ext { b. } a^{4 / 3} & 	ext { c. } y^{9 / 2}\end{array} $$

UpStudy AI · Accepted Answer

a. $$ x^{3/5} = \sqrt[5]{x^3} $$

b. $$ a^{4/3} = \sqrt[3]{a^4} $$  
  Alternatively, it can be written as $$ \left(\sqrt[3]{a}\right)^4 $$.

c. $$ y^{9/2} = \sqrt{y^9} $$  
  Alternatively, it can be expressed as $$ \left(\sqrt{y}\right)^9 $$.
a. $$ x^{3/5} = \sqrt[5]{x^3} $$ b. $$ a^{4/3} = \sqrt[3]{a^4} $$   Alternatively, $$ \left(\sqrt[3]{a}\right)^4 $$ c. $$ y^{9/2} = \sqrt{y^9} $$   Alternatively, $$ \left(\sqrt{y}\right)^9 $$

Write an equivatent expression for the following rational exponents:

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