Find the cube root of 0.000216.

Problem restatementEvaluate √√√(0.000216).

Concept/ApproachUse the property √√√(a × 10^k) = √√√(a) × 10^k/3. Recognize 0.000216 = 216 × 10⁻⁶.

Step-by-step calculation√√√(0.000216) = √√√(216) × √√√(10⁻⁶)= 6 × 10⁻² = 0.06

Verification/Alternative(0.06)³ = 0.000216, confirming the result.

Common pitfallsTaking cube root of the exponent incorrectly (e.g., using 10⁻³ instead of 10⁻²).

Final Answer0.06