How do I raise a negative exponent to another negative exponent?

Actually, [x^(-1/3)]^(-3) = x, only for x ≠ 0.

When an expression with an exponent is raised to another exponent, the exponents are multiplied. However, zero cannot be raised to a negative power, and simplification cannot change an undefined expression into a real number.

Exponent over exponent, you always multiply the two, and use the result as you new exponent:

-1/3 X -3 == 3/3 =1 [- x - = +] .. Any quantity to the power of 1 is the same quantity.

X^1 = X

According to the law of exponents (a^n)^m = a^(nm)

so (x^-1/3)^-3 = x^-1/3*-3 = x^1 = x

(x^-1/3)^-3 =

x^(-1/3 * -3) =

x^1 =

x