what is the minimum value of 3 raise to power x plus 3 raise to power -x-1
Answers
It is important to recall some basic information about the powers of the numbers. To begin with, a power shows how many times a number is multiplied by itself. For example, if we take a number 2 raised to the power of 2, or squared, (written like this - 2^2) then we get an answer of 4. This is because 2 x 2 = 4. So we have multiplied 2 by itself twice. The numbers can raised up to infinity. However, there are some very important rules that should be remembered.
Firstly, a reverse operation of powers would be the roots. If we take the same example of 2, being raised to the power of 2 which equals to 4, we can square-root 4 (v4) and it equals to 2. Nevertheless, as mentioned earlier, a number can be raised to any power. Similarly, a root can have any coefficient, i.e. not only being square root.
Secondly, the numbers raised to powers is known in mathematics as exponentials and all have exponential function graphs, either the exponential growth one or the exponential decay one. Thus, we need to recall some basic rules.
Any number that is raised to the power of 0 is equal to 1If a number is raised to a negative power, then it will be rewritten as 1 divided by that number raised to the power, e.g. 2^-2 = 1/2^2If a number is raised to a power expressed as a fraction, then it should be rooted, e.g. 4^1/2 = √4