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This simple rule is the order of operations which states that exponentiation precedes multiplication and division, which precede addition and subtraction, and that operations enclosed in parentheses precede all others,
In the given expression, the establishment of division between two sets of parentheses, note that the parentheses on the left indicate strength, therefore, in accordance to the order of operations mentioned above, we start simplifying the expression within those parentheses, and as we proceed, we obtain the result derived from simplifying the expression within those parentheses with given strength, and in the final step, we divide the result obtained from the simplification of the expression within the parentheses on the right,
We proceed similarly with the simplification of the expression within the parentheses on the left, where we perform the operations of multiplication and division, in strength, in contrast, we simplify the expression within the parentheses on the right, which, according to the order of operations mentioned above, means multiplication precedes division, hence we first perform the operations of multiplication within those parentheses and then proceed with the operation of division:
We conclude that the sequence of operations within the expression that is within the parentheses on the left yields a smooth result, this result we leave within the parentheses, these we raised in the next step in strength, this means we remember that every number (positive or negative) in dual strength gives a positive result,
As we proceed, note that in the last expression we received from establishing division by the number 0, this operation is known as an undefined mathematical operation (and this is the simple reason why a number should never be divided by 0 parts) therefore, the given expression yields a value that is not defined, commonly denoted as "undefined group" and use the symbol :
In summary:
Therefore, the correct answer is answer A.
No solution
Solve the following exercise:
\( 12+3\cdot0= \)
Division asks "what number times 0 gives me 36?" But any number times 0 equals 0, never 36! That's why division by zero is undefined - there's no answer that works.
When we get division by zero, the mathematical expression cannot be solved. It's like asking "What's the color of silence?" - the question itself doesn't make sense mathematically.
Not necessarily! Double-check your arithmetic: . If your math is correct and you get 0 in the denominator, then no solution is the right answer.
You can write "No solution," "Undefined," or "Does not exist." Some teachers accept the symbol (empty set). Check what your teacher prefers!
Yes, very different! Getting 0 as an answer means . Getting division by zero means the problem cannot be solved at all - there's no value that works.
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