Question

simplify and express in power notation. (81/16)^(-1/2) × (2/3)^2 ÷ (3/2)^(-2)​

Answer 1

$( { \frac{81}{16} })^{ - \frac{1 }{2} } \times ( { \frac{2}{3} })^{2} \div ({ \frac{3}{2} })^{ - 2}$

$= \sqrt{ \frac{81}{16} } \times ({ \frac{2}{3} })^{2} \div \frac{3}{ {2}^{2} }$

$= \frac{9}{4} \times \frac{4}{9} \div \frac{3}{4}$

$= \frac{1}{ \frac{3}{4} }$

$= 1 \times \frac{4}{3}$

$= \frac{4}{3}$

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