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Math Help - Is the PEMDAS convention necessary to be compatible with exponent notation?

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    Is the PEMDAS convention necessary to be compatible with exponent notation?

    Is the P E M/D A/S convention necessary to be compatible with exponent notation?

    If we write: 2^3 + 7
    then wouldn't it be impossible to reverse the priority of exponents and addition if we use our current notation for exponents?
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  2. #2
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    I don't understand your question - it's very clear that you need to do the exponentiation before the addition...
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    Quote Originally Posted by Prove It View Post
    I don't understand your question - it's very clear that you need to do the exponentiation before the addition...
    I'm asking if the order of operations convention that we adopt, namely P E M/D A/S, could have been a different convention. It seems possible that we could have adopted a convention of P E A/S M/D i.e. reversing the priority of addition and multiplication so that 4 \times 2+1 = 4 \times 3.
    However, I don't see how we could do something similar with exponents.
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    Is the P E M/D A/S convention necessary to be compatible with exponent notation?
    It is not necessary because you can make a convention to do M/D after A/S. However, our notation for exponents does seem to imply that exponentiation has the highest priority.
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