Answer:
Therefore,
[tex](-2)^{3}=-8[/tex]
Step-by-step explanation:
Simplify
-2^3
[tex](-2)^{3}[/tex]
It is read as negative 2 raised to the power three,
also it is the cube of negative 2
we know that [tex]a^{3}[/tex]given as
[tex]a^{3}=a\times a\times a[/tex]
so for negative a i.e -a
[tex](-a)^{3}=-a\times -a\times -a[/tex]
substituting a = 2 we get
[tex](-2)^{3}=-2\times -2\times -2[/tex]
negative sign multiplied by odd number of times then the sign remains negative.
Therefore,
[tex](-2)^{3}=-8[/tex]
