Question

Some one help me please

Answer 1

For this case we have that by power properties it is fulfilled:

$(a ^ n) ^ m = a ^ {n * m}$

Now, we can rewrite the expression as:

$\frac {64g ^ 9 * h ^ 6 * k ^ {12}} {8g ^ 3 * h ^ 2} -h ^ {25} k ^ {15} =$

We also have by definition of properties of powers that:

$\frac {a ^ m} {a ^ n} = a ^ {m-n}$

So:

$8g ^ {9-3} * h ^ {6-2} * k ^ {12} -h ^ {25} k ^ {15} =\\8g ^ 6 * h ^ 4 * k^{12} -h^{25} * k^{15}$

Answer:

Option D