Question

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

Answer 1

B. 1/(3xy^3)

Explanation:

The minus sign can be dealt with first, then the root taken.

`\left(9x^(2)y^(6)\right)^{-(1)/(2)}=\frac{1}{\sqrt{9x^(2)y^(6)}}\\\\=(1)/(√(9)√(x^2)√(y^6))=(1)/(3xy^3)`