A radical sign and a fractional exponent are two spellings of the same idea. Once you can move between them, hard radical problems turn into easy exponent problems. Turn the dial to see what a fraction in the exponent actually does — then step through six conversions, one line at a time.
The exponent dial
16
26
at x = 2
Why the bottom number is the root
Radical form ↔ exponent formpick an example below
power → numerator (top) index → denominator (bottom)