The discussion centers on simplifying the expression 3√-27x^6 without a calculator. The key steps involve rewriting the expression as (-27x^6)^(1/3) and recognizing that -27^(1/3) equals -3. The final simplified form is -3x^2. Participants clarified the evaluation of cube roots, leading to a better understanding of the solution process.
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Naga360 said:Homework Statement
Simplify 3√-27x^6
I'm very confused on how to evaluate what -27^(1/3) is without a calculator. I think I'm fine with the other steps. if someone could explain this to me I would really appreciate it.
The Attempt at a Solution
= 3√-27x^6
= (-27x^6)^(1/3)
= -27^(1/3)x^2