I'm trying to solve this problem step by step with positive exponents. I still can't seem to find the correct answer but here is the problem
[(2x^2)(z^-5))/(3z^4)]^-5
Divided By
[((3x^4)(z^9))/(2x^-6)]^3
You mean simplify this?
I'd take the reciprocal of the first fraction and change the outer exponent to a positive one:
Then I'd multiply the reciprocal of the second fraction (note that the outermost exponent does not change):
Move the remaining negative exponents:
Apply the Power-of-a-Power property:
Multiply and simplify:
01