Question

27 ^ -1/3 ???

Answer 1

[(3)^3]^-1/3
3^3*(-1/3)
3^-1
1/3

Answer 2

the exponent is negative so take the inverse:
\[\frac{1}{27^{1/3}}\]

the 1/3 simply means the cube root of it, so the cube root of 27 is 3

thus
\[\frac{1}{3}\]

Answer 3

What helps me to remember exponents is that if the exponent is negative, it means to do the operation, but move it to the bottom of the fraction. In your case, 27^(-1/3) means take the cube root of 27, and then put it over one (move it to bottom of fraction). Another example, 5^(-1) would be 1/5...(take 5^1, and then move it to bottom of fraction). Does that make sense?