Answer:
[tex] \dfrac{4r^6}{st^8} [/tex]
Step-by-step explanation:
[tex] (4r^{-2}st^4)(r^{-4}st^6)^{-2} = [/tex]
Use laws of exponents to simplify the right set of parentheses.
[tex]= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})[/tex]
Now use the law of exponents for a product of powers with the same base.
[tex] = 4r^6s^{-1}t^{-8} [/tex]
Finally, use the definition of a negative exponent.
[tex] = \dfrac{4r^6}{st^8} [/tex]
