Question

Find the value of
${9}^{3 \div 2} \div {3}^{3}$
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Answer 1

Answer:

$\frac{ {9}^{ \frac{3}{2} } }{ {3}^{3} } \\ = \frac{( {3}^{2} {)}^{ \frac{3}{2} } }{ {3}^{3} } \\ = \frac{ {3}^{2 \times \frac{3}{2} } }{ {3}^{3} } \\ = \frac{ {3}^{3} }{ {3}^{3} } \\ = \frac{3 \times 3 \times 3}{3 \times 3 \times 3} \\ = \frac{27}{27} \\ = 1$

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