What is the answer 6²÷2(3)+4=

6²÷2(3)+4

Use the order of operations:
GEMDAS (grouping, exponents, multiplication/division, addition/subtraction)

First is grouping.
While there is a number inside parentheses, there aren't any operations in there we have to do first. The 2(3) is just another way to write multiplication. (2×3)

Second is exponents.
We do have an exponent here, 6².
The ² means to multiply something by itself. 6² = 6×6 = 36

Now our expression is 36÷2(3)+4

Next is multiplication/division. We can do these in any order. (either do the ×3 first or the ÷2 first, it doesn't matter)
Let's start at the left with 36÷2, which equals 18. (check: 18×2=36)
Now, we'll do the 18×3 = 54
If we were to do 36(3)÷2 that would work too-- 36×3÷2 = 108÷2 = 54.
Now while you can do these in any order, what you can not do is multiply the dividend 2 by 3. That would give 36÷6 = 6, which is incorrect. It's not something you need to fret over, just go from left to right doing your multiplication/division and you shouldn't ever have this problem.

Now we have 54 + 4 which is clearly 58.