Respuesta :

We have to find:

[tex]2^{-4}=?[/tex]

By the inverse law of exponents,we have:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

where a,b are any numbers.

According to our question,we have a=2 and b=4 here

Putting the values,we get:

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

Now, we know that

[tex]a^b=a\times a\times a\times a\ldots\ldots..\times a\text{ b times}[/tex]

That is,in our question,

[tex]2^4=2\times2\times2\times2=16[/tex]

Hence,

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