Question

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

Answer 1

9m to the power of three

Answer 2

`9m^(3)`

Explanation:

The given expression is

`(81m^(6) )^{(1)/(2) }`

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

`x^{(m)/(n) }=\sqrt[n]{x^(m) }`

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

`(81m^(6) )^{(1)/(2) }=(81)^{(1)/(2) }(m^(6) ) ^{(1)/(2) } =√(81) * m^(3) = 9m^(3)`

Therefore, the given expression is equivalent to
`9m^(3)`