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

there is no grid

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2