Question

Simply the following expression

Answer 1

Answer:

$\dfrac{4r^6}{st^8}$

Step-by-step explanation:

$(4r^{-2}st^4)(r^{-4}st^6)^{-2} =$

Use laws of exponents to simplify the right set of parentheses.

$= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})$

Now use the law of exponents for a product of powers with the same base.

$= 4r^6s^{-1}t^{-8}$

Finally, use the definition of a negative exponent.

$= \dfrac{4r^6}{st^8}$