Question

6.1 properties of exponents quiz

\\((ab)^4 = a^4 b^4\\)

true
false

Explanation:

Apply the power of a product rule

Using the Properties of Exponents knowledge point

$$ (ab)^4 = \underbrace{(ab) \cdot (ab) \cdot (ab) \cdot (ab)}_{4\text{ times}} $$

$$ (ab)^4 = (a \cdot a \cdot a \cdot a) \cdot (b \cdot b \cdot b \cdot b) = a^4b^4 $$

Determine the truth value

Using the Properties of Exponents knowledge point

$$ (ab)^4 = a^4b^4 \implies \text{True} $$

Answer:

• True (Correct answer)
• False