81.5k views
2 votes
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

User Hyetigran
by
6.9k points

2 Answers

5 votes

Answer:-3m^12n^6

Step-by-step explanation: you are welcome

User JB Nizet
by
8.1k points
0 votes

Answer:

-3m^12n^6

Explanation:

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


(-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

User Eihwaz
by
7.9k points