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Uncertain about part of the Order of Operations, from a formula

Дата публикации: 09-08-2026 17:01:53



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TL;DR
found a formula but some of order of operations are not clear. Somebody can and will I hope explain how to properly compute.

I found something, a formula, which I am sure is ambiguous. Let me disguise the numbers, but
some of the order of operations comes imprecise to me. I also omitted one of the terms due to
that part not being ambiguous.

V=((H/100)^(a)*(b))+(c)

I just cannot properly identify the exact order of operations.
Somebody make this clear?

Discussion

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That seems to me $$

V=(\frac{H}{100})^a*b+c$$

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Exponentiation has precedence over multiplication.

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Brackets that don't include an operator are meaningless. (a) = a. First step, remove them. so,
V=((H/100)^(a)*(b))+(c)=((H/100)^a*b)+c

Brackets are sometimes added when not necessary for readability, but this is subjective.
V=(H/100)^a*b+c is the minimal usage. They are required to force division before exponentiation in this example. Some might prefer V=((H/100)^a)*b+c

V=((((H/100)^a)*b)+c) is the maximal usage, a bracket for every operation. Note how hard it is to visually keep track of many brackets together "((((".

Reordering of commutative terms can improve readability, like this:
V=c+b*(H/100)^a

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If these quantities are associated with units, inserting the units could help clarify the order of operations.

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