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$\Delta P=6.2\times(600(450000)^{1/3})^{1.1}$

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Ratio and Quadratic equation

Full solution

Q.

\Delta P=6.2\times(600(450000)^{1/3})^{1.1}

Understand Given Expression: First, we need to understand the given expression $\Delta P = 6.2 \times (600(450000)^{(1/3)})^{1.1}$ . This involves calculating the cube root of $450,000$ , multiplying the result by $600$ , raising the product to the power of $1.1$ , and finally multiplying by $6.2$ .
Calculate Cube Root: Calculate the cube root of $450,000$ , which is $(450,000)^{1/3}$ . Using a calculator or cube root function, we find that $(450,000)^{1/3} \approx 76.367532$ .
Multiply by $600$ : Multiply the cube root by $600$ . $\newline$ $600 \times 76.367532 \approx 45,820.5192$ .
Raise to Power: Raise the product to the power of $1.1$ . $(45,820.5192)^{1.1} \approx 45,820.5192^{1.1} \approx 199,526.231$ .
Final Calculation: Finally, multiply the result by $6.2$ to find $\Delta P$ . $\newline$ $6.2 \times 199,526.231 \approx 1,237,062.6322$ .

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