Math, asked by bhavagnakotapat9187, 1 month ago

512000 Ka cube root and prime facterzation please give me correct answer

Answers

Answered by kartik2507
1

Answer:

80

Step-by-step explanation:

512000 = 2×2×2×2×2×2×2×2×2×2×2×2×5×5×5

512000 = 2¹² × 5³

 \sqrt[3]{512000}  =  \sqrt[3]{ {2}^{12}  \times  {5}^{3} }  \\  \sqrt[3]{512000}  =  {2}^{ \frac{12}{3} }  \times  {5}^{ \frac{3}{3} }  \\  \sqrt[3]{512000}  =  {2}^{4}  \times 5 \\  \sqrt[3]{512000}  = 16 \times 5 \\  \sqrt[3]{512000}  = 80

cube root of 512000 is 80

Hope you get your answer

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