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Calculate.\newlineΔP=6.2×(45000013120)1.1\Delta P = 6.2 \times \left(\frac{450000^{\frac{1}{3}}}{120}\right)^{1.1}

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Q. Calculate.\newlineΔP=6.2×(45000013120)1.1\Delta P = 6.2 \times \left(\frac{450000^{\frac{1}{3}}}{120}\right)^{1.1}
  1. Calculate Cube Root: Calculate the cube root of 450000450000. The cube root of a number is the value that, when multiplied by itself three times, gives the original number. We need to find the cube root of 450000450000. Calculation: 450000(1/3)76.36753237450000^{(1/3)} \approx 76.36753237
  2. Divide by 120120: Divide the cube root of 450000450000 by 120120. We now divide the result from Step 11 by 120120 to continue simplifying the expression. Calculation: 76.36753237/1200.636396103176.36753237 / 120 \approx 0.6363961031
  3. Raise to Power: Raise the result from Step 22 to the power of 1.11.1. We need to raise the quotient from Step 22 to the power of 1.11.1 to follow the given expression. Calculation: (0.6363961031)1.10.7551841005(0.6363961031)^{1.1} \approx 0.7551841005
  4. Multiply for ΔP\Delta P: Multiply the result from Step 33 by 6.26.2 to find ΔP\Delta P. Finally, we multiply the result from Step 33 by 6.26.2 to get the value of ΔP\Delta P. Calculation: 0.7551841005×6.24.68214142310.7551841005 \times 6.2 \approx 4.6821414231

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