I am confused as to what the nth power is.

Question

Is it any number as an exponent that leaves the radicand the same?

Could you please show me an example?

thanks,

Answer 1

The nth power of a number is that number multplied by itself n times.

If n is a negative number, the nth power of x is [1/x] multiplied by itself n times.

If n is not an integer, you need to use logarithms to define x^n.

Log x^n = n Log x.