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If 5p^-3=8×5^-2, find the value p​

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Answer:


\blue{p = (2)/(5) }

Explanation:


5 {p}^(3) = 8 * {5}^( - 2) \\ 5 {p}^(3) = 8 * (1)/(5^(2) ) \\ 5 {p}^(3) = 8 * (1)/(25) \\ 5 {p}^(3) = (8)/(25) \\ {p}^(3) = (8)/(25 * 5) \\ {p}^(3) = (2 * 2 * 2)/(5 * 5 * 5) \\ p = \sqrt[3]{(2 * 2 * 2)/(5 * 5 * 5)} \\ p = (2)/(5)

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