Question

`(5^(3))^(-3)` pls

Answer 1

`(1)/(1953125)` ✅

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

`( { {5}^(3) })^( - 3) \\ \\ which\:means \:that \: {5}^(3)\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^(3 * - 3) \\ \\ = {5}^( - 9) \\ \\= \frac{1}{ {5}^(9) } \\ \\ = (1)/(5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) \\ \\ = (1)/(1953125)`

Note:-

`( { {a}^(m) })^(n) = {a}^(m * n)`

`{a}^( - m) = \frac{1}{ {a}^(m) }`

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