Simplify the Expression

Question

   6m^-4           m^-2

( _____ )  (           )  

   2m^-3            6

Answer 1

simplify it by number and consonant 

 

 

6 * m ^-4 * m^-2

____________

 

2 * m^-3 * 6

 

From The above step 6 divided by 6 is 1. So they cancelled each other.

 

m^-4* m^-2

________

 

2 * m^-3

 

According to Formula a^m * aⁿ = a ^(m+n)

 

That makes m^(-4-2) = m^-6. 

 

m-6

____

2*m^-3   

 

Now (a^m/aⁿ) = a^(m-n).

 

Step moves forward to m^(-6-(-3))=m ^(-6+3) = m^-3.

 

And finally answer is m^-3/2.