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My calculator says -2² = -4, so yeah...
Isn't the "-" order of operations the same as a multiply ? I think I learned powers take priority over the "-" so your calculator would be right.
But either way if it can cause confusion you should use parentheses.
Every calculator I've used has separate negative and subtraction keys for this purpose. There is no order of operations to follow, it's just a squaring a number
I learned negative as being a separate operation where we need to apply the order of operations. I think it was something like : -2 is a diminutive for -1x2 so it uses the order of operations of a multiplication.
My calculator is the official one used in schools in France (ti-83 premium ce) and it says -2^2 = -4 with the negative key. I don't think it would make a mistake in such a simple concept.
But whatever these concepts can change depending on the field, country, level of education. What I mean is : it's unclear, so use parentheses. So (-2)^2 or -(2^2) are the correct ways to write it.
Correct. Things that are usually left out of Maths expressions are plus signs, ones as multipliers/indices, and un-needed brackets. e.g. I could more fully write this as -1(4)², but that just simplifies to -4²
The number being squared is 4, unless you put (-4)², otherwise it's 4² with a minus sign.
Yes, Exponents is the 2nd-highest precedence (after Brackets) - BEDMAS.
I would never write -n². Either ‐(n²) or (-n)². Order of operations shouldn't be some sort of gotcha to trick people into misinterpreting you, it's the intuitive reading of a well constructed mathematical expression.
It isn't. With ‐(n²), n² is already a single term, so the brackets aren't needed.
That's correct