Multiply: 12m^5 / -2m^2 * 6m^6 / 28m^3

a) 9m^5 / 7
b) -9m^5 /7
c) 9m^6 / 7
d) -9m^6 / 7

d

3 answers

correct.
D is the answer.

12m^5 * 6m^6= 72m^11

Add exponents when multiplying= 11
Multiply the constant numbers= 72

-2m^2 *28m^3= -56m^5

(72m^11)/(-56m^5)= (-9/7)m^6

when dividing, the exponents needs to be subtracted. 72 and -56 both go into 8 so reduce it and gives you negative 9/7.
thanks jessie and bobpursley