Simplify completely and express in terms of positive exponents

(6x^-2y^5/2z^-11) ^-3

I believe the following is your equation:

(6x⁻²y⁵/2z⁻¹¹) ⁻³ If so then note that:

6x⁻² = 6/x²

2z⁻¹¹ = 2/z¹¹

Hence (6/x² * 2/z¹¹) ⁻³ = = > (12) / (x² * z¹¹) ⁻³. The denominator could be written:

(x² * z¹¹) ⁻³ = 1 / (x² * z¹¹) ³ now let's divide the numerator by the denominator:

(12) : 1 / (x² * z¹¹) ³ = > 12 * (x² * z¹¹) ³