Answer :

To solve the expression [tex]\(5x^2 y^4 - 121\)[/tex], let's break it down step-by-step:

1. Write down the expression:
[tex]\[ 5x^2 y^4 - 121 \][/tex]

2. Understand the expression:
- The expression consists of two terms: [tex]\(5x^2 y^4\)[/tex] and [tex]\(-121\)[/tex].
- The first term, [tex]\(5x^2 y^4\)[/tex], involves variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex] raised to powers, and is multiplied by a coefficient [tex]\(5\)[/tex].
- The second term, [tex]\(-121\)[/tex], is a constant.

3. Combine the terms:
- The expression is already combined and simplified as much as possible without additional context or requirements.
- We observe the two terms are being subtracted, so the simplified form is:
[tex]\[ 5x^2 y^4 - 121 \][/tex]

4. Result:
- The simplified expression is:
[tex]\[ 5x^2 y^4 - 121 \][/tex]

Thus, the expression [tex]\(5x^2 y^4 - 121\)[/tex] is already in its simplified form, and no further simplification is possible without additional context or specific values for [tex]\(x\)[/tex] and [tex]\(y\)[/tex].