Answer :
The equivalent expressions of the given expression are ⁵√x³, and [tex](x^3)^{1/5}[/tex] . The correct answer would be options (B) and (D).
The expression is given in the question, as follows:
[tex]x^{3/5}[/tex]
We have to determine the equivalent of the given expression.
As per option (A),
³√x⁵ = [tex](x^5)^{1/3}[/tex] = [tex]x^{5/3}[/tex]
This is not equivalent to the given expression.
As per option (B),
⁵√x³ = [tex]x^{3/5}[/tex]
This is equivalent to the given expression.
As per option (C),
[tex](x^5)^{1/3}[/tex] = [tex]x^{5/3}[/tex]
This is not equivalent to the given expression.
As per option (D),
[tex](x^3)^{1/5}[/tex] = [tex]x^{3/5}[/tex]
This is equivalent to the given expression.
As per option (E),
(⁵√x)³ = [tex](x^{1/5}) ^3[/tex] = [tex]x^{1/75}[/tex]
This is not equivalent to the given expression.
As per option (F),
(³√x)⁵ = [tex]x^{1/243}[/tex]
This is not equivalent to the given expression.
Hence, the correct answer would be options (B) and (D).
Learn more about the expression here :
brainly.com/question/21751419
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