How to simplify algebra

(10.m^12)/(5.m^6)=
2.m^12/m^6=
2.m^(12-6)=
2.m^6

salu2

10m^12/5m^6
= (10/5)(m^12/m^6)
= 2[m^(12 - 6)]
= 2[m^6]
= 2m^6

10m^12
----------
5m^6

10 m^12
---- * --------
5 m^6

12-6=6

2m^6

Simplify

10m^12 / 5m^6 =

The terms involve coefficient ( the number or constant before the letters)) and the variables (the letters)

In 10m^12 ===> 10 is the coefficient , m ===> the variable , ^12 ==> the power or exponent

1) DIVIDE the coefficients first

10/5 = 2

2) Use the the law of exponents

If m^a / m^b ===> m ^(a - b)

In our example,

m^12/m^6 = m ^( 12 -6) = m^6

3) Put them together

2m^6

Therefore,

10m^12/5m^6 = 2m^6

(10)(m)^12
---------------
(5)(m)^6

Divide the 10 and 5 you get 2

Rule : a^m divide by a^n = a ^ (m-n)

So m^12 divide by m^6 you get m^6
Final answer = 2m^6

10m^12 / 5m^6

Here the trick is: when multiplied the similar value powers gets added and when divided those gets subtracted, So,

we can write the above as,
10/5 x m^12/m^6
= 2 x m ^(12-6)
= 2m^6

10 m^12
---------
5 m^6


2 m^6