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$\Delta P = 6.2 \times \left(\frac{450,000^{\frac{1}{3}}}{120}\right)^{1.1}$

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Convert customary and metric units using proportions

Full solution

Q.

\Delta P = 6.2 \times \left(\frac{450,000^{\frac{1}{3}}}{120}\right)^{1.1}

Calculate Cube Root: Calculate the cube root of $450,000$ . To find the cube root of $450,000$ , we raise it to the power of $1/3$ . Calculation: $450,000^{1/3}$
Divide by $120$ : Divide the cube root of $450,000$ by $120$ . $\newline$ After finding the cube root, we divide that result by $120$ as per the given expression. $\newline$ Calculation: $(450,000^{(1/3)}) / 120$
Raise to Power $1$ . $1$ : Raise the result of the division to the power of $1.1$ . $\newline$ We take the result from Step $2$ and raise it to the power of $1.1$ to follow the given expression. $\newline$ Calculation: $\left(\frac{450,000^{\frac{1}{3}}}{120}\right) ^ {1.1}$
Multiply by $6$ . $2$ : Multiply the result from Step $3$ by $6.2$ . Finally, we multiply the result from Step $3$ by $6.2$ to find the value of $\Delta P$ . Calculation: $6.2 \times \left(\left(450,000^{1/3} / 120\right) ^ {1.1}\right)$

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