Question

the value of (2/3)^-3 ×(25/4)^-4​

Answer 1

Question :-

$( { \frac{2}{3} })^{ - 3} \times ({ \frac{25}{4} })^{ - 4}$

Answer:-

$( { \frac{3}{2} })^{3} \times ({ \frac{4}{25} })^{4}$

$\frac{27}{8} \times \frac{256}{390625}$

$= \frac{6192}{3125000}$

Hope this helps you...

Answer 2

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Question :-

• $\sf {\color{gold}{\: find \: the \: value \: of \: {( \frac{2}{3} )}^{ - 3} }} { \color{gold} \times {( \frac{25}{4} )}^{ - 4} }$

Answer :-

• ${ \sf{ \color{red}{ {( \frac{2}{3} )}^{ - 3} = {( \frac{3}{2} )}^{3} }}}$
• ${ \sf{ \color{red}{ {( \frac{25}{4} )}^{ - 4} = { {( \frac{4}{25} )}^{4} }}}}$
• ${ \sf{\color{red}{ {( \frac{3}{2} )}^{3} \times {( \frac{4}{25} )}^{4} }}}$
• ${ \sf{ \color{red}{ \frac{27}{8} \times \frac{256}{390625} }}}$
• $\sf{ \color{red}{ \frac{60912}{3125000} }}$

$\mathfrak{ \color{cyan}{thx \: mah \: answers}}$