Question

Simply the following expression

Answer 1

`(4r^6)/(st^8)`

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.

`= (4r^6)/(st^8)`