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I need help with this expression. I need to select a value

I Need Help With This Expression I Need To Select A Value class=
I Need Help With This Expression I Need To Select A Value class=

Sagot :

[tex]m^{\frac{1}{15}}[/tex]

Explanation

let's remember some properties of the exponents numbers

[tex]\begin{gathered} a^{\frac{1}{m}}=\sqrt[m]{a} \\ (a^m)^n=a^{m*n} \end{gathered}[/tex]

so

Step 1

[tex](m^{\frac{1}{3}})^{\frac{1}{5}}[/tex]

apply the properties to solve:

[tex]\begin{gathered} (m^{\frac{1}{3}})^{\frac{1}{5}}=m^{\frac{1}{3}*\frac{1}{5}} \\ (m^{\frac{1}{3}})^{\frac{1}{5}}=m^{\frac{1}{15}} \end{gathered}[/tex]

so, the answer is

[tex]m^{\frac{1}{15}}[/tex]

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