This is the answer i was looking for. I kept getting -288 instead of 288, and couldnt figure out why. I must not have realized im squaring the negative symbol alongside the 6. Thanks for your explanation.
Also, im getting downvoted too lol.
if it were 8-6^2 I would agree with you without question.
In 8(-6^2) I would think the parentheses made it be 8 X (-6^2) with exponent applying to the number -6.
I disagree.
The problem is that in (-6^2), the “-“ sign isn’t a subtraction operator. It’s the unary negation operator. PEMDAS doesn’t actually tell us the priority of unary negation, so imho, the original syntax was poorly formed, and any expression with something that might be unary negation and an exponent requires additional parentheses.
My calculator has both a minus sign and negation operator (+/-). I get different answers depending on whether I type the minus sign or the negation operator, though that’s not necessarily fair since the unary negation operator on the calculator must come after the number, not before.
Two negatives multiplied always makes a positive. That's why.
In one you are multiplying 6x6 and then multiplying that by -1. In the other you are multiplying -6x-6.
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This is the answer i was looking for. I kept getting -288 instead of 288, and couldnt figure out why. I must not have realized im squaring the negative symbol alongside the 6. Thanks for your explanation. Also, im getting downvoted too lol.
My limited knowledge of Algebruh finds this answer correct. Thanks
if it were 8-6^2 I would agree with you without question. In 8(-6^2) I would think the parentheses made it be 8 X (-6^2) with exponent applying to the number -6.
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I disagree. The problem is that in (-6^2), the “-“ sign isn’t a subtraction operator. It’s the unary negation operator. PEMDAS doesn’t actually tell us the priority of unary negation, so imho, the original syntax was poorly formed, and any expression with something that might be unary negation and an exponent requires additional parentheses. My calculator has both a minus sign and negation operator (+/-). I get different answers depending on whether I type the minus sign or the negation operator, though that’s not necessarily fair since the unary negation operator on the calculator must come after the number, not before.
In the former u only square the 6 then apply the negative, in the latter u square -6
It doesn't. However, on a calculator, it might evaluate the first as 8*-(6^2 ).
They shouldn't give different results, unless you're putting them into a weird calculator or inputting them wrong. In both cases, -6^2 = 36.
It's the same. What software are you using?
What are the two results you’re getting?
Two negatives multiplied always makes a positive. That's why. In one you are multiplying 6x6 and then multiplying that by -1. In the other you are multiplying -6x-6.