Square root 'a'
16^-2 = 2?
http://www.google.com/search?q=16%5E-2&rlz=1C1AVSX_enUS414US423&oq=16%5E-2&aqs=chrome..69i57j0.1338j0j8&sourceid=chrome&espv=210&es_sm=122&ie=UTF-8
I need it 2 to the power of ? =16^-2
16 = 2^4
so,
16^-2 = (2^4)^-2 = 2^-8
To find the square root of a number, you need to understand that the square root of a number 'a' is another number 'x' such that when 'x' is multiplied by itself, it equals 'a'. In other words, if x^2 = a, then x is the square root of a.
In your example, you are trying to calculate the square root of 16^-2. Let's break it down:
16^-2 = 1/(16^2) = 1/256
Now, let's find the square root of 1/256. We can simplify this by expressing 1/256 as a fractional exponent:
1/256 = (1/2^8) = 2^-8
The square root of 2^-8 is the number 'x' such that x^2 = 2^-8.
To calculate this, we can rewrite 2^-8 as (2^(-1))^8, which in turn equals (1/2)^8.
Now we can find the square root:
√(2^-8) = √((1/2)^8) = 1/2^4 = 1/16
Therefore, the square root of 16^-2 is 1/16, not 2.