Answer:
The simplified form of the given expression is [tex]\frac{1}{13}[/tex].
Step-by-step explanation:
The given expression is
[tex]\frac{13}{(1-14)^2}[/tex]
Simplify the parenthesis.
[tex]\frac{13}{(-13)^2}[/tex]
Using product property of exponent, we get
[tex]\frac{13}{(-1)^2(13)^2}[/tex] [tex][\because (ab)^x=a^xb^x][/tex]
[tex]\frac{13}{(13)^2}[/tex]
It can be written as
[tex]\frac{13}{13\times 13}[/tex] [tex][\because a\times a=a^2][/tex]
Cancel out the common factors.
[tex]\frac{1}{13}[/tex]
Therefore the simplified form of the given expression is [tex]\frac{1}{13}[/tex].
