Everything i don't understand the process

Question 5.
The function given shows represents height after a certain time. The distance measures is initial distance till the distance covered when the time is calculated. The question has given us an initial distance of 100 feet and they want us to calculate the time when the egg hits the ground, or, in other words, 0 feet. So, next, we substitute this information in the equation.

12m^-8

or you can write 12/m^8 it is the same

Step-by-step explanation:

Let's to the denominator first

(m^4 n^-2)^3 * (m^-4 n^2)^-2

since (a^b)^c = a^bc

we can rewrite the second factor as

(m^4 n^-2)^2  I have done this to simply remove the -4 and 2 exponents and make them 4 and -2 as in the first factor

at this point you have the same quantities between brackets () and you can multiply, considering that a^b * a^c = a^(b+c)

so the denominator becomes (m^4 n^-2)^5

at this point I would simply use the exponents

(12m^6 n^-5)^2 / (m^4 n^-2)^5 = (12m^12 n^-10) / (m^20 n^-10)

therefore, simplifying the similar factors

12m^-8