Question

which is the simplified form of \\(x^{-12}\\)?

\\(x^{12}\\)

\\(-x^{12}\\)

\\(\frac{1}{x^{12}}\\)

\\(-\frac{1}{x^{12}}\\)

Explanation:

Identify the given expression

$$ x^{-12} $$

Apply the negative exponent rule

$$ x^{-a} = \frac{1}{x^a} \quad (x eq 0) $$

Simplify the expression

$$ x^{-12} = \frac{1}{x^{12}} $$

Answer:

• (A) \(x^{12}\)
• (B) \(-x^{12}\)
• (C) \(\frac{1}{x^{12}}\) (Correct answer)
• (D) \(-\frac{1}{x^{12}}\)