Edit: sorry about the title, it was warped when I pressed Control + z

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SUMMARY

The discussion centers on simplifying the expression (2n)4 + 2n4. The correct simplification of (2n)4 is 16n4, as it represents the multiplication of 2n by itself four times. The confusion arises from the interpretation of the parentheses, but the established mathematical convention dictates that (2n)4 equals 16n4. Therefore, the complete expression simplifies to 16n4 + 2n4.

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Edit: sorry about the title, it was warped when I pressed Control + z a few times. This is a question about monomials.

Homework Statement



How do I simplify (2n)4 + 2n4?

Homework Equations



N/A

The Attempt at a Solution



The problem I'm having is with the parenthesis. So really I just want to simplify (2n)4.

Would it be 2n4 or 16n4? The first one seems more intuitive, but I have no idea what it should be.

I'd really appreciate some help. This is the only part of math that I find unattractive.
 
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AVReidy said:
Edit: sorry about the title, it was warped when I pressed Control + z a few times. This is a question about monomials.

Homework Statement



How do I simplify (2n)4 + 2n4?

Homework Equations



N/A

The Attempt at a Solution



The problem I'm having is with the parenthesis. So really I just want to simplify (2n)4.

Would it be 2n4 or 16n4? The first one seems more intuitive, but I have no idea what it should be.

I'd really appreciate some help. This is the only part of math that I find unattractive.

For any a, a^4 means a*a*a*a, so (2n)^4 means 2n * 2n * 2n * 2n = 16n^4. Never mind your "intuition" about what you think symbols _should_ mean. They have conventional meanings that are hundreds of years old.

RGV
 
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