Questions: Write the function as a sum of terms of the form ax^n, where a is a constant. f(x)=11/x^3 11/x^3 =

Transcript text: Write the function as a sum of terms of the form $\mathrm{ax}^{\mathrm{n}}$, where a is a constant. \[ \begin{array}{l} f(x)=\frac{11}{x^{3}} \\ \frac{11}{x^{3}}=\square \end{array} \]

Solution

Solution Steps

To express the function $ f(x) = \frac{11}{x^3} $ as a sum of terms of the form $ ax^n $, we need to rewrite the given function using negative exponents.

Solution Approach

Rewrite the function $ \frac{11}{x^3} $ as $ 11x^{-3} $.

Step 1: Rewrite the Function

The given function is

\[ f(x) = \frac{11}{x^3} \]

To express this in the form of $ ax^n $, we can rewrite it using negative exponents:

\[ f(x) = 11x^{-3} \]

Step 2: Identify the Coefficient and Exponent

In the expression $ 11x^{-3} $, we identify the coefficient $ a $ and the exponent $ n $: