Questions: Write the expression in radical notation without negative exponents:

Solution Steps

To rewrite an expression with negative exponents in radical notation, you need to understand that a negative exponent indicates the reciprocal of the base raised to the positive of that exponent. For example, \( x^{-n} \) can be rewritten as \( \frac{1}{x^n} \). Additionally, an expression like \( x^{m/n} \) can be expressed in radical form as \( \sqrt[n]{x^m} \).

The given expression is \( x^{-2} \). According to the rules of exponents, a negative exponent indicates the reciprocal of the base raised to the positive exponent. Therefore, we can rewrite \( x^{-2} \) as \( \frac{1}{x^2} \).

In radical notation, the expression \( x^{-2} \) can also be expressed as \( \frac{1}{\sqrt{x^4}} \) since \( x^{-2} = \frac{1}{x^2} \) can be interpreted as the square root of \( x^4 \). However, for simplicity, we will keep it in the form \( \frac{1}{x^2} \).

Final Answer