Which expression is equivalent to (9x2y6)−1/2?

Answer:
B. 1/(3xy^3)
Step-by-step explanation:
The minus sign can be dealt with first, then the root taken.
[tex]\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}[/tex]