Question

6.3 rational exponents quiz

\\(x^{\frac{1}{2}}\\) is the same as \\(x^2\\).

true
false

Explanation:

Analyze the given statement

Using the Rational Exponents and Radical Form knowledge points

$$ x^{\frac{1}{2}} = \sqrt{x} $$

Compare the expressions

Using the Rational Exponents knowledge point

$$ \sqrt{x} eq x^2 \quad \text{for general } x > 0 \quad (\text{e.g., } 4^{\frac{1}{2}} = 2 eq 4^2 = 16) $$

Answer:

• True
• False (Correct answer)