Answered

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I need help selecting a value for the expression above

I Need Help Selecting A Value For The Expression Above class=

Sagot :

[tex]m^{\frac{8}{15}}[/tex]

Explanation

Let's remember some properties of the operations for powered numbers

[tex]\begin{gathered} a^x*a^y=a^{x+y} \\ a^{\frac{1}{x}}=\sqrt[x]{a} \end{gathered}[/tex]

so

Step 1

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

solve by aplying the property

[tex]\begin{gathered} m^{\frac{1}{3}}*m^{\frac{1}{5}} \\ m^{\frac{1}{3}}*m^{\frac{1}{5}}=m^{\frac{1}{3}+\frac{1}{5}} \\ m^{\frac{1}{3}}*m^{\frac{1}{5}}=m^{\frac{8}{15}} \end{gathered}[/tex]

therefore, the answer is

[tex]m^{\frac{8}{15}}[/tex]

I hope this helps you

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