You need to solve the given equation, hence, you need to isolate the term that contains the variable `x^6` to the left side, adding `64` both sides, such that:
`x^6 = 64`
You need to exponentiate both sides by `(1/6)` , such that:
`(x^6)^(1/6) = 64^(1/6)`
Using the following law of exponents, yields:
`x^(6*(1/6)) = 64^(1/6)`
Since you may express `64` as `2^6` , yields:
`x^(6*(1/6)) = 2^(6*(1/6))`
Reducing duplicate factors yields:
`x = 2`
Hence, evaluating the solution to the given equation, using the laws of exponents, yields `x = 2` .
Here is problem to solve the equation `x^6=64`
`((-A)^m)^(1/m)=-A` if m is an even integer.
Let define function `f(x)=x^6-64 ` , draw its graph and observe where it meet x-axis
So graph meets x ais at x=-2,2
i.e. 2,-2 are zeros of f(x) or roots of equation f(x)=0.