Answer:
The value of given expression is [tex]\dfrac{1}{36}[/tex].
Step-by-step explanation:
The given expression is
[tex](ab)^{-2}[/tex]
we need to find the value of given expression for a=3 and b=-2.
Substitute a=3 and b=-2 in the above expression.
[tex](3\cdot (-2))^{-2}[/tex]
[tex](-6)^{-2}[/tex]
Using property of exponent we get
[tex]\dfrac{1}{(-6)^{2}}[/tex] [tex][\because a^{-n}=\dfrac{1}{a^n}][/tex]
[tex]\dfrac{1}{36}[/tex]
Therefore, the value of given expression is [tex]\dfrac{1}{36}[/tex].
