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Start with the given expression
The goal of simplifying expressions with third roots is to factor the radicand into a product of two numbers.
One of these two numbers must be a value in which you can take the third root and still get a rational number.
So let's list the factors of -243
1, 3, 9, 27, 81, 243
Notice how 27 is the largest value in which you can take the third root and still get a rational number, so lets break -243 down into -27*9
Factor -243 into -27*9
Break up the roots using the identity
Take the third root of -27 to get -3