Question

what is 2 to the negative 4th power without an exponent?

Answer 1

We have to find:

$2^{-4}=?$

By the inverse law of exponents,we have:

$a^{-b}=\frac{1}{a^b}$

where a,b are any numbers.

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

Putting the values,we get:

$2^{-4}=\frac{1}{2^4}$

Now, we know that

$a^b=a\times a\times a\times a\ldots\ldots..\times a\text{ b times}$

That is,in our question,

$2^4=2\times2\times2\times2=16$

Hence,

$undefined$