Question

use the power rule and the power of a product rule to simplify the expression.

\\((p^6 q^3)^9\\)

\\((p^6 q^3)^9 = \square\\)

Explanation:

Apply the power of a product rule

$$ (p^6 q^3)^9 = (p^6)^9 \cdot (q^3)^9 $$

Apply the power of a power rule

$$ (p^6)^9 \cdot (q^3)^9 = p^{6 \cdot 9} \cdot q^{3 \cdot 9} = p^{54} q^{27} $$

Answer:

Use the power rule and the power of a product rule to simplify the expression.

\((p^6q^3)^9 =\) <blank>\(p^{54}q^{27}\)</blank>