Respuesta :

-(4)^-2=-0.0625. Unless you mean something else.

Answer:

The given  expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]

Step-by-step explanation:

Given :   Expression [tex]-\left(4\right)^{-2}[/tex]

We have to write the simplified form of the given expression [tex]-\left(4\right)^{-2}[/tex]

Consider the given  expression [tex]-\left(4\right)^{-2}[/tex]

Apply exponent rule , [tex]\:a^{-b}=\frac{1}{a^b}[/tex]

[tex]4^{-2}=\quad \frac{1}{4^2}[/tex]

[tex]\frac{1}{4^2} =\frac{1}{16}[/tex]

Thus, The given  expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]