In calculus it is frequently important to write an expression in the form $$ c x^{n} $$, where $$ c $$ is a constant and $$ n $$ is a rational number,

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To express a function in the form $$ c x^{n} $$, where $$ c $$ is a constant and $$ n $$ is a rational number, we can follow these steps:

1. **Identify the function**: Start with the function you want to express in the desired form. This could be a polynomial, a rational function, or any other type of function.

2. **Simplify the function**: If the function is complex, simplify it as much as possible. This may involve factoring, combining like terms, or reducing fractions.

3. **Rewrite in the desired form**: Look for ways to express the function as a product of a constant and a power of $$ x $$. This may involve isolating the variable $$ x $$ and identifying the constant $$ c $$ and the exponent $$ n $$.

4. **Check the exponent**: Ensure that the exponent $$ n $$ is a rational number. If it is not, you may need to manipulate the expression further.

### Example

Let's say we have the function $$ f(x) = 3x^2 + 5x + 2 $$.

1. **Identify the function**: $$ f(x) = 3x^2 + 5x + 2 $$.

2. **Simplify the function**: This function is already in a simplified polynomial form.

3. **Rewrite in the desired form**: We can express each term separately:
   - The first term is $$ 3x^2 $$ (where $$ c = 3 $$ and $$ n = 2 $$).
   - The second term $$ 5x $$ can be rewritten as $$ 5x^1 $$ (where $$ c = 5 $$ and $$ n = 1 $$).
   - The third term $$ 2 $$ can be expressed as $$ 2x^0 $$ (where $$ c = 2 $$ and $$ n = 0 $$).

4. **Check the exponent**: All exponents $$ n = 2, 1, 0 $$ are rational numbers.

Thus, the function can be expressed in the form $$ c x^{n} $$ for each term. If you have a specific function in mind, please provide it, and I can help you express it in the desired form.
To write an expression in the form $$ c x^{n} $$, identify the function, simplify it, and express each term as a constant multiplied by $$ x $$ raised to a rational exponent.

In calculus it is frequently important to write an expression in the form \( c x^{n} \), where \( c \) is a constant and \( n \) is a rational number,

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