Question

I am confused as to what the nth power is.

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.