Respuesta :
Answer:
The value of x is -125
Therefore x=-125
Step-by-step explanation:
Given that the expression is [tex](-5)^{-3}[/tex]
To solve the expression :
[tex](-5)^{-3}[/tex]
[tex]=\frac{1}{(-5)^3}[/tex] ( by using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )
[tex]=\frac{1}{(-5)\times (-5)\times (-5)}[/tex] ( expanding the power )
Let [tex]x=(-5)\times (-5)\times (-5)[/tex]
[tex]=\frac{1}{x}[/tex]
Now the value of x is [tex]x=(-5)\times (-5)\times (-5)[/tex]
[tex]=-125[/tex]
Therefore x=-125
The value of x is -125
