This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.
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Answer
18225
Let's find the cube root of 91125.
Step 1: We need to find a number that, when multiplied by itself three times, equals 91125. We can use prime factorization to help us. Step 2: Find the prime factors of 91125. 91125 ÷ 5 = 18225 18225 ÷ 5 = 3645 3645 ÷ 5 = 729 729 ÷ 3 = 243 243 ÷ 3 = 81 81 ÷ 3 = 27 27 ÷ 3 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1 So, the prime factorization of 91125 is 5 × 5 × 5 × 3 × 3 × 3 × 3 × 3 × 3. Step 3: Group the prime factors into sets of three. 91125 = (5 × 5 × 5) × (3 × 3 × 3) × (3 × 3 × 3) Step 4: Take one factor from each group of three. Cube root of 91125 = 5 × 3 × 3 Step 5: Calculate the final result. 5 × 3 × 3 = 45
The cube root of 91125 is 45.
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We can use prime factorization to help us. Step 2: Find the prime factors of 91125.
This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.