https://file.aiquickdraw.com/mathbot/file/17273734015549fsw63l0.jpg

The expression given in the image is:

\[
\frac{e^{4x} + 4}{4}
\]

To convert this into a technology-friendly formula format (likely for input into a calculator or software), you would use standard syntax such as `^` for exponents and grouping symbols to ensure the proper order of operations.

The equivalent expression in technology syntax would be:

\[
(e^{4x} + 4) / 4
\]

This ensures the entire numerator is divided by 4.

Do you have any questions or would you like further details?

Here are 5 related questions for further practice:
1. How would you write \( e^{3x} + 5 \) in technology formula format?
2. How do you express a quotient with multiple terms in the denominator in technology format?
3. What is the technology formula for \(\frac{2x^3 + 6}{x^2 + 1}\)?
4. How do you ensure that an expression like \( \frac{x^2 + x}{2x + 1} \) is interpreted correctly in a calculator?
5. How can you represent nested exponentials, like \( e^{e^x} \), in a technology formula?

**Tip**: Always use parentheses to clarify the numerator and denominator in division when typing formulas into software to avoid errors in interpretation!

Convert the expression \( \frac{e^{4x} + 4}{4} \) into its technology formula equivalent.

Learn how to convert the algebraic expression \( \frac{e^{4x} + 4}{4} \) into a technology-friendly formula. This problem involves understanding exponents and algebraic formatting suitable for input into a calculator or software. Ideal for high school students in advanced algebra.

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