Question

all the best ! please solve it!

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Answer 1

Answer:

729/64 is your answer

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Answer 2

$\fbox{\LARGE{\underline{\underline{\purple{\bf{Given : }}}}}}$

$\frac{a}{b} = ({ \frac{3}{2} })^{ - 2} \div ({ \frac{3}{2} })^{0}$

$\fbox{\LARGE{\underline{\underline{\orange{\bf{Required \: answer: }}}}}}$

$value \: of\: ({ \frac{a}{b} })^{ - 3}$

$\fbox{\LARGE{\underline{\underline{\pink{\bf{Solution : }}}}}}$

$\frac{a}{b} = ({ \frac{3}{2} })^{ - 2} \div ({ \frac{3}{2} })^{0}$

$= > \frac{a}{b} = ({ \frac{3}{2} )}^{ - 2} \div 1$

$= > \frac{a}{b} = ( { \frac{2}{3} )}^{2}$

$= > \frac{a}{b} = \frac{4}{9}$

Now,

$({ \frac{a}{b} })^{ - 3} = ( { \frac{4}{9} })^{ - 3} = { \frac{9}{4} }^{3} = \frac{729}{64}$

$\large \bold{\underline { \underline\orange{ More \: to \: know : }}}$

${a}^{0 } = 1$

${a}^{m} \times {a}^{n} = {a}^{m + n}$

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