Question

simplify the expression \\((3pr^2)^2\\). write the variables in alphabetical order.

Explanation:

Step1: Apply power of a product rule

$(ab)^n = a^n b^n$, so $(3pr^2)^2 = 3^2 \cdot p^2 \cdot (r^2)^2$

Step2: Simplify each exponent

$3^2=9$, $(r^2)^2=r^{2\times2}=r^4$, so we get $9 \cdot p^2 \cdot r^4$

Step3: Arrange variables alphabetically

Variables $p$ comes before $r$, so rewrite as $9p^2r^4$

Answer:

$9p^2r^4$