For this case we must simplify the following expression:
[tex](5x ^ 4 * y ^ {-3}) ^ {-2}[/tex]
By definition of power properties we have:
[tex]a ^ {-1} = \frac {1} {a ^ 1}[/tex]
So:
[tex](5x ^ 4 * y ^ {-3}) ^ {- 2} =\\(5x ^ 4 * \frac {1} {y ^ 3}) ^ {- 2} =\\\frac {1} {(\frac {5x ^ 4} {y ^ 3}) ^ 2} =\\\frac {y ^ 6} {25x ^ 8}[/tex]
Answer:
[tex]\frac {y ^ 6} {25x ^ 8}[/tex]
