For this case we have that by power properties it is fulfilled:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Now, we can rewrite the expression as:
[tex]\frac {64g ^ 9 * h ^ 6 * k ^ {12}} {8g ^ 3 * h ^ 2} -h ^ {25} k ^ {15} =[/tex]
We also have by definition of properties of powers that:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
So:
[tex]8g ^ {9-3} * h ^ {6-2} * k ^ {12} -h ^ {25} k ^ {15} =\\8g ^ 6 * h ^ 4 * k^{12} -h^{25} * k^{15}[/tex]
Answer:
Option D
