What is the simplified form of -24m^5n^4/8m^-7n^-2. assume m and n are equal to zero

a. 3/m^35n^8
b. -3n^2/m^2
c. -3m^12n^6
d. 3m^35n^8

-3m^12n^6

Step-by-step explanation:

-24m^5n^4/8m^-7n^-2

To simplify this expression we apply exponential property

a^m / a^n = a^m-n

When the exponents are in division then we subtract the exponents

-24/ 8 = -3

m^5 / m^-7 = m^(5-(-7))= m^12

n^4 / n^-2= n^(4-(-2))= n^6

Write all the terms together

-3m^12n^6

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