The expression \(\frac{2x^2 + 5}{x^{16}}\) can be simplified by dividing both terms in the numerator by \(x^{16}\):

\[
\frac{2x^2 + 5}{x^{16}} = \frac{2x^2}{x^{16}} + \frac{5}{x^{16}}
\]

Now simplify each term:

1. \(\frac{2x^2}{x^{16}} = 2x^{2-16} = 2x^{-14}\)
2. \(\frac{5}{x^{16}} = 5x^{-16}\)

So the simplified form of the expression is:

\[
2x^{-14} + 5x^{-16}
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you simplify an expression with negative exponents?
2. What are the properties of exponents for dividing terms with the same base?
3. How would you integrate the simplified expression?
4. What is the derivative of \(2x^{-14} + 5x^{-16}\)?
5. How do you handle fractional exponents?

**Tip:** Negative exponents represent reciprocals, so \(x^{-n} = \frac{1}{x^n}\).

Simplify the expression (2x^2 + 5)/(x^16).

Learn how to simplify the rational expression (2x^2 + 5)/(x^16) using exponent rules. This detailed step-by-step solution covers exponentiation, negative exponents, and algebraic simplification. Ideal for students in Grades 9-11.

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