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. Write the following expression in this form. $$ \sqrt{x} \cdot \sqrt[4]{x} $$ SUBMIT ANSWER

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To express $$\sqrt{x} \cdot \sqrt[4]{x}$$ in the form $$c x^{n}$$, follow these steps:

1. **Rewrite the radicals as exponents:**
   $$
   \sqrt{x} = x^{1/2} \quad \text{and} \quad \sqrt[4]{x} = x^{1/4}
   $$

2. **Multiply the expressions by adding the exponents:**
   $$
   x^{1/2} \cdot x^{1/4} = x^{1/2 + 1/4} = x^{3/4}
   $$

3. **Identify the constant $$c$$:**
   In this case, there is no constant multiplier other than 1.

So, the expression in the desired form is:
$$
x^{3/4}
$$

**Answer:** $$ x^{\,3/4} $$
The expression $$\sqrt{x} \cdot \sqrt[4]{x}$$ can be written as $$x^{3/4}$$.

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. Write the following expression in this form. \[ \sqrt{x} \cdot \sqrt[4]{x} \] SUBMIT ANSWER

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