Respuesta :

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.

The answer 6²÷2(3)+4 is 10 (PEMDAS rule) and 58 (many computer language)

Further explanation

Mathematical expression is a symbols of finite combination that is well-formed according to rules that depend on the context.

There are two correct answers for this question

[tex]6^2:2(3)+4\\6^2:6+4\\6+4\\=10[/tex] according to the PEMDAS rule.

"PEMDAS." means: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. PEMDAS is often expanded to the mnemonic "Please Excuse My Dear Aunt Sally". In mathematics and computer programming, the order of operations is a rules collectionthat reflect conventions that procedure to perform first in order to evaluate a given mathematical expression. Addition and multiplication are operations at a "different level" from each other, where the multiplication is repeated addition so it makes sense to treat them differently. On the other hand, subtraction is a special version of addition and is treated the same.

or

[tex]6^2:2(3)+4\\18(3)+4\\54+4\\=58[/tex] according to many computer language. A programming language is a tool for humans to express ideas to computers. While the developers have many things in common, there is natural variety in the way that their minds work.

Learn more

  1. Learn more about  math problem https://brainly.com/question/558496
  2. Learn more about expressions https://brainly.com/question/9657981
  3. Learn more about  the exponential operation https://brainly.com/question/1564163

Answer details

Grade:  9

Subject:  Mathematics

Chapter:  expressions

Keywords: math problem, expressions,  the exponential operation, parentheses, multiplication