Simplify each expression. Only use positive exponents.

Simplify each expression. Only use positive exponents.?
(27a^ 4/3) over (b^-1/2 c^5/6) all to the -1

Simplify the root

cubed root of 16x^7 y ^5 z^3

1. I am assuming that the expression is:

[(27a^(4/3))/(b^(-½)c^(5/6))]^(-1)

Use those laws of exponents to evaluate the expression.

(aⁿ)^b = a^(nb)
a^(-n) = 1/aⁿ

So we have:

(27a^(4/3))^(-1)/(b^(-½)c^(5/6))^(-1)
= (b^(-½)c^(5/6))/(27a^(4/3))
= c^(5/6)/(27a^(4/3)b^(½))

2. ∛(16x^7y^5z³)

Factor out the value in terms of cubic factor:

∛(2³*2*(x²)³*x(y)³*y²*z³)

Therefore, we obtain 2x²yz∛(2xy²)

I hope this helps!