Question

Evaluate the expressions using the order of operations. (-16+22)^(2)*3-:(14-20)

Answer 1

To solve the mathematical expression using the order of operations (PEMDAS), first simplify expressions within parentheses, then solve exponents, and finally execute multiplication and subtraction. The given expression
`(-16+22)^(^2^)*3-(14-20)`equals 114 when correct order of operations is applied.

Step-by-step explanation:

The subject we're dealing with here is Mathematics - Order of Operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The expression you have given to evaluate is: (-16+22)^(2)*3-:(14-20).

First step is to simplify the expression inside the Parentheses which gives you 6. Then, square it (second step), as indicated by the exponent (^2), resulting in 36. Multiply this by 3 giving 108 (step three). The last part of your expression is a little unclear due to the typo. However, if we assume ':(14-20)' was intended to be subtraction, the result is -6, which you then subtract from 108, getting a final answer of 114.

So, in conclusion, following the correct order of operations, the expression could be solved as
`(-16+22)^(^2^)*3-(14-20)` equals 114.

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