Answer: the simplified expression is
2y^15/(3x^5z^12)
Explanation:
The given expression is
(-8x^2y^8z^-5) / (12^4y^-7z^7)
To simplify the given expression, we would apply one of the rules of indices. It is expressed as follows
x^a ÷ x^b = x^(a - b)
Applying the above rule of indices, the expression becomes
(-8/12 × x^(2 - 7) × y^(8 - - 7) × z^ (- 5 - 7)
= - 2/3 × x^- 5 × y^15 × z^-12
= - 2/3x^- 5y^15z^-12
= 2y^15/(3x^5z^12)