Answer:
Final simplified expression is 6.
Step-by-step explanation:
We have been given an expression [tex]216^{\frac{1}{3}}[/tex].
Now we need to simplify [tex]216^{\frac{1}{3}}[/tex] So let's do that by factoring 216 first so that we can have same repeating factor thrice
[tex]216^{\frac{1}{3}}[/tex]
[tex]=(6*6*6)^{\frac{1}{3}}[/tex]
[tex]=(6^3)^{\frac{1}{3}}[/tex]
Apply formula [tex](x^m)^n= x^{m*n}[/tex]
[tex]=6^{3*\frac{1}{3}}[/tex]
[tex]=6^{1}[/tex]
[tex]=6[/tex]
Hence final simplified form is 6.
