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

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To simplify the expression (2n)⁴ + 2n⁴, it is essential to first evaluate (2n)⁴, which equals 16n⁴. This is derived from multiplying 2n by itself four times, resulting in 2⁴n⁴ or 16n⁴. Therefore, the expression simplifies to 16n⁴ + 2n⁴. Combining like terms gives a final result of 18n⁴. Understanding the conventional meanings of mathematical symbols is crucial for accurate simplification.
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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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