Answer:
[tex]\frac{144}{2025}[/tex]
Step-by-step explanation:
( 3 a b ) ² = 9 a² b²
Given that,
a = - [tex]\frac{1}{5}[/tex]
b = - [tex]\frac{4}{9}[/tex]
Now you have to replace a and b with - [tex]\frac{1}{5}[/tex] and - [tex]\frac{4}{9}[/tex] respectively.
Let us solve now.
9 a² b² = 9 × ( - [tex]\frac{1}{5}[/tex] ) ² × ( - [tex]\frac{4}{9}[/tex] ) ²
= 9 × [tex]\frac{1}{25}[/tex] × [tex]\frac{16}{81}[/tex]
= [tex]\frac{9*1*16}{25*81}[/tex]
= [tex]\frac{144}{2025}[/tex]
Let me know if you've any other questions. :-)
