Express in simplest radical form.

Question

2x/x9

Answer 1

To simplify the expression \( \frac{2x}{x^9} \), we can use the laws of exponents.

1. First, we can rewrite it as: \[ \frac{2x}{x^9} = 2 \cdot \frac{x}{x^9} \]

2. Now, we apply the quotient rule for exponents, where \( \frac{x^m}{x^n} = x^{m-n} \): \[ \frac{x}{x^9} = x^{1-9} = x^{-8} \]

3. Therefore, the expression becomes: \[ 2 \cdot x^{-8} \]

4. To express \( x^{-8} \) in simplest radical form, we can rewrite it as: \[ \frac{2}{x^8} \]

So the final simplified expression is: \[ \frac{2}{x^8} \]