Question

if (x by y) =(3 by 2)-² divided by (3 by 7)0 find the value of (x by y) -³​

Answer 1

Answer:

x/y= (3/2)^2/ 3/7

    =9/4 into 7/3

     =3/28

Step-by-step explanation:

Answer 2

AnswEr :

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$:\implies\sf{\dfrac{x}{y}=\dfrac{\bigg(\dfrac{3}{2}\bigg)^{-2}}{\bigg(\dfrac{3}{7}\bigg)^0}}$

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$:\implies\sf{\dfrac{x}{y}=\dfrac{\bigg(\dfrac{2}{3}\bigg)^2}{1}}$

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$:\implies\sf{\dfrac{x}{y}=\dfrac{4}{9}}$

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$:\implies\sf{\bigg(\dfrac{x}{y}\bigg)^{-3}=\bigg(\dfrac{4}{9}\bigg)^{-3}}$

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$:\implies\sf{\bigg(\dfrac{x}{y}\bigg)^{-3}=\bigg(\dfrac{9}{4}\bigg)^3}$

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$:\implies\underline{\boxed{\frak{\textcolor{silver}{\bigg(\dfrac{x}{y}\bigg)^{-3}=\dfrac{729}{64}}}}}\;\bigstar$

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Used laws of exponents :

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• a⁰ = 1

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• a¯ⁿ = (1/a)ⁿ = 1/aⁿ

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