Question

6.1 properties of exponents quiz

(x^{-2} = -x^2)

true
false

Explanation:

Analyze the given equation

Using the Properties of Exponents knowledge point

$$ x^{-2} = \frac{1}{x^2} \quad (x eq 0) $$

Compare both sides of the equation

Using the Properties of Exponents knowledge point

$$ \frac{1}{x^2} eq -x^2 $$

The negative exponent represents a reciprocal, not a negative base or a negative coefficient. Therefore, the statement is false.

Answer:

• True
• False (Correct answer)