Question

please answer the above question ​

Answer 1

$\huge \fbox \green{Solution: }$

$\textbf{According to Question;}$

$⇒( \frac{ - 3}{2} {)}^{ - 3} \div x = (\frac{4}{27} {)}^{ - 2}$

$⇒( \frac{ - 2}{?3} {)}^{3} \div x = (\frac{27}{4} {)}^{2} \: \: \: \: \: \: [∴( \frac{a}{b} {)}^{ - c} = (\frac{b}{a} {)}^{c} ]$

$⇒ (\frac{ - 8}{27} ) \div x = ( \frac{27 \times 27}{16} )$

$⇒ \frac{( \frac{ - 8}{27}) }{x} = (\frac{27 \times 27}{16} )$

$⇒ (\frac{ - 8}{27x} ) = ( \frac{27 \times 27}{16} )$

$\textbf{Cross Multiplying,}$

$\fbox{we Get:}$

$- 8 \times 16 = (27 \times 27 \times 27)x$

$⇒( - 1)(2 {)}^{3} \times {2}^{4} = ( {3}^{3} \times {3}^{3} \times {3}^{3} )x$

$⇒x = \frac{( - 1)(2 {)}^{3} \times {2}^{4} }{ {3}^{3} \times {3}^{3} \times {3}^{3} }$

$⇒x = \frac{( - 1)(2 {)}^{7} }{ {3}^{9} } \: \: \: \: [∴ {x}^{a} \times {x}^{b} = {x}^{a + b} ]$

$⇒x = \frac{( - 2 {)}^{7} }{ {3}^{9} } \: \: \: \: \: \: \: \: [∴( - a {)}^{n} ]$

$\text{:when n is odd}$

$\\ \\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$

Answer 2

Answer:

hi blink

Step-by-step explanation:

Good evening

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