Question

Helppppppp! 15 points!

Answer 1

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

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$( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81$

Note:-

${a}^{m} \div {a}^{n} = {a}^{m - n}$

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

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