You need to show what YOU THINK about each of these posts you've made. Otherwise, people will know you are cheating and just mooching answers.
Post what you know and have tried so far.
The expression
(16xy^2/-24x^3y)^-3
may be simplified into the form A/B
where none of the factors of A and B are raised to a negative power.
Answer: A = _______ and B = ________
2 answers
However, on the off chance that you really do need a little help, and are just shy :-)
Here it's probably best to simplfy inside the parens first:
16xy^2/-24x^3y = -2y/3x^2
Now raise that to the -3 power:
(-2y/3x^2)^-3
= (-3x^2/2y)^3
= ((-3)^3 (x^2)^3 / (2^3) (y^3)
= -27x^6 / 8y^3
Here it's probably best to simplfy inside the parens first:
16xy^2/-24x^3y = -2y/3x^2
Now raise that to the -3 power:
(-2y/3x^2)^-3
= (-3x^2/2y)^3
= ((-3)^3 (x^2)^3 / (2^3) (y^3)
= -27x^6 / 8y^3