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

Question

asked Sep 28, 2019 50.9k views

2 Answers

Shaun The Sheep · Answer 1 · 2019-10-03T23:11:55+0000

Answer:

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)