Question

If 5p^-3=8×5^-2, find the value p​

Answer 1

`\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)`