Question

Helppppppp! 15 points!

Answer 1

`{\boxed{\mathcal{\purple{D.\:81}}}}` ✅

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

`( {3})^{ (11)/(5) } / {3}^{ ( - 9)/(5) } \\ \\=( {3})^{ (11)/(5) - ( ( - 9)/(5) ) } \\ \\ = ( {3})^{ (11)/(5) + (9)/(5) } \\ \\ = ( {3})^{ (11 + 9)/(5) } \\ \\ = ( {3})^{ (20)/(5) } \\ \\ = ( {3})^(4) \\ \\ = ( \: 3 * 3 * 3 * 3 \: ) \\ \\ = 81`

Note:-

`{a}^(m) / {a}^(n) = {a}^(m - n)`

`\sf\red{(-)\:x\:(-)\:=\:+}`

`\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}`