![for the cube root of 216, which is written as [3]216. This means we need to find a number that, when multiplied by itself three times, equals 216.](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1774915122807-14774373915663dd.png&w=3840&q=75)
This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.
ScanSolve AI Answer
Step 1: Identify the operation. The problem asks for the cube root of 216, which is written as [3]216. This means we need to find a number that, when multiplied by itself three times, equals 216. Step 2: Find the prime factorization of 216. 216 = 2 × 108 108 = 2 × 54 54 = 2 × 27 27 = 3 × 9 9 = 3 × 3 So, the prime factorization of 216 is 2 × 2 × 2 × 3 × 3 × 3. Step 3: Group the prime factors into sets of three. 216 = (2 × 2 × 2) × (3 × 3 × 3) 216 = 2^3 × 3^3 Step 4: Calculate the cube root. [3]216 = [3]2^3 × 3^3 Using the property [n]a^n = a: [3]2^3 × 3^3 = [3]2^3 × [3]3^3 = 2 × 3 = 6 The cube root of 216 is 6. 6