Question

How do you solve this please show with steps I'm very lost, I tried to put it in square root and I tried to multiply my approaches do not add up to the answer which is supposed to be 9/125...

(3^1/3 • 5^ -1/2)^6

Answer 1

(3^1/3 * 5^-1/2)^6.

Multiply both exponents by 6:
3^6/3 * 5^-6/2
Replace the improper fractions by whole numbers:
3^2 * 5^-3 = 9 * 1/5^3 = 9 * 1/125 = 9/125.

I hope this helps.