Help with BEDMAS

Simplify the following:
4+3×5-6^4/(4+2)^3 2

 

6^4 = (6^2)^2:
4+3×5-(6^2)^2/(4+2)^3 2

 

6^2 = 36:
4+3×5-36^2/(4+2)^3 2
4+3×5-1296/(4+2)^3 2

 

4+2 = 6:
4+3×5-1296/6^3×2

 

6^3 = 6×6^2:
4+3×5-1296/6×6^2×2

 

6^2 = 36:
4+3×5-1296/(6×36)×2

 

6×36  =  216:
4+3×5-1296/216×2

 

The gcd of 1296 and 216 is 216, so 1296/216 = (216×6)/(216×1) = 216/216×6 = 6:
4+3×5-6×2

 

3×5  =  15:
4+15-6×2

 

-6×2  =  -12:
4+15+-12

 

4+15 = 19:
19-12
Answer: |  7

B(rackets):

4+3x5-6^4/(4+2)^3x2

= 4+3x5-6^4/6^3x2

E(xponents):

4+3x5-6^4/6^3x2

= 4+3x5-1296/216x2

D(ivisions):

4+3x5-1296/216x2

= 4+3x5-6x2

M(ultiplications):

4+3x5-6x2

= 4+15-12

A(dditions):

4+15-12

= 19-12

S(ubtractions):

19-12

= 7