Answer:
[tex]\sqrt[20]{3}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{3}[/tex] / [tex]\sqrt[5]{3}[/tex]
= [tex]3^{1/4}[/tex] / [tex]3^{1/5}[/tex]
= [tex]3^{(1/4) - (1/5)}[/tex]
= [tex]3^{(1/20)}[/tex] (= [tex]\sqrt[20]{3}[/tex] )
In simplified form the expression can be written as [tex]\rm 3^{\frac{1}{20}[/tex] .
An expression is a mathematical statement consisting of variables , coefficients and mathematical operators.
An expression is given
[tex]\rm \dfrac{\sqrt[4]{3} }{\sqrt[5]{3}}[/tex]
Converting them into exponent form , the expression can be written as
[tex]\rm \dfrac{ 3 ^{1/4}}{3^{1/5}}\\\\a^m / a^n = a ^{m-n}[/tex]
Therefore simplifying
[tex]\rm 3^{\frac{1}{4} - \frac{1}{5} \\\\\\\\3^{\frac{1}{20}[/tex]
Therefore In simplified form the expression can be written as [tex]\rm 3^{\frac{1}{20}[/tex] .
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