Question

Which of the following is equivalent to (81m6) 1/2?

Answer 1

Answer:

$9m^{3}$

Step-by-step explanation:

The given expression is

$(81m^{6} )^{\frac{1}{2} }$

Remeber that fraction exponents represents roots, due to the following property

$x^{\frac{m}{n} }=\sqrt[n]{x^{m} }$

However, first, we need to multiply exponents, to then simplify the fraction

$(81m^{6} )^{\frac{1}{2} }=(81)^{\frac{1}{2} }(m^{6} ) ^{\frac{1}{2} } =\sqrt{81} \times m^{3} = 9m^{3}$

Therefore, the given expression is equivalent to $9m^{3}$

Answer 2

9m to the power of three