Question

6.1 properties of exponents quiz

(x^7 - x^7 = 1)

true
false

Explanation:

Analyze the left-hand side of the equation

Using the Combining Like Terms knowledge point

$$ x^7 - x^7 = (1 - 1)x^7 = 0 $$

Compare with the right-hand side

Using the Properties of Exponents knowledge point

$$ 0 eq 1 \quad (\text{for all } x) $$

Determine the truth value

Since the simplified equation is \(0 = 1\), which is a contradiction, the statement is false.

Answer:

• True
• False (Correct answer)