Answer:
[tex]9m^{3}[/tex]
Step-by-step explanation:
The given expression is
[tex](81m^{6} )^{\frac{1}{2} }[/tex]
Remeber that fraction exponents represents roots, due to the following property
[tex]x^{\frac{m}{n} }=\sqrt[n]{x^{m} }[/tex]
However, first, we need to multiply exponents, to then simplify the fraction
[tex](81m^{6} )^{\frac{1}{2} }=(81)^{\frac{1}{2} }(m^{6} ) ^{\frac{1}{2} } =\sqrt{81} \times m^{3} = 9m^{3}[/tex]
Therefore, the given expression is equivalent to [tex]9m^{3}[/tex]
