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(200*0.0358945*1*1*1*1)/(15^(2)*root(3)(1.42)*200)

200⋅0.0358945⋅1⋅1⋅1⋅1152⋅1.423⋅200 \frac{200 \cdot 0.0358945 \cdot 1 \cdot 1 \cdot 1 \cdot 1}{15^{2} \cdot \sqrt[3]{1.42} \cdot 200}

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Divide numbers written in scientific notationright chevron icon

Full solution

Q. 200⋅0.0358945⋅1⋅1⋅1⋅1152⋅1.423⋅200 \frac{200 \cdot 0.0358945 \cdot 1 \cdot 1 \cdot 1 \cdot 1}{15^{2} \cdot \sqrt[3]{1.42} \cdot 200}
  1. Group and simplify: Group similar terms and simplify the expression.\newline(200×0.0358945×1×1×1×1)/(152×1.423×200)=(200×0.0358945)/(152×1.423×200)(200 \times 0.0358945 \times 1 \times 1 \times 1 \times 1) / (15^2 \times \sqrt[3]{1.42} \times 200) = (200 \times 0.0358945) / (15^2 \times \sqrt[3]{1.42} \times 200)
  2. Cancel out 200200: Cancel out the 200200 in the numerator and the denominator.(200×0.0358945)/(152×1.423×200)=0.0358945/(152×1.423)(200 \times 0.0358945) / (15^2 \times \sqrt[3]{1.42} \times 200) = 0.0358945 / (15^2 \times \sqrt[3]{1.42})
  3. Calculate 1515 squared: Calculate 1515 squared (15215^2).\newline152=22515^2 = 225
  4. Calculate cube root: Calculate the cube root of 1.421.42 (1.423\sqrt[3]{1.42}).\newline1.423≈1.123\sqrt[3]{1.42} \approx 1.123
  5. Divide by product: Divide 0.03589450.0358945 by the product of 225225 and 1.1231.123. \newline0.0358945/(225×1.123)=0.0358945/252.6750.0358945 / (225 \times 1.123) = 0.0358945 / 252.675
  6. Perform final division: Perform the division to get the final answer. 0.0358945/252.675≈0.0001420.0358945 / 252.675 \approx 0.000142

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