Question

The value of x to make the statement (5/9)^-2*(18/25)^-2=x^-2 true,is

Answer 1

${ (\frac{9}{5} )}^{2} \times { (\frac{25}{18} )}^{2} = \frac{1}{ {x}^{2} } \\ {x }^{2} = \frac{ {18}^{2} {5}^{2} }{ {9}^{2} {25}^{2} } \\ taking \: sq \: root \: both \: sides \\ \\ x = \frac{18 \times 5}{9 \times 25 } \\ x = \frac{2}{5}$
I hope this will help you.
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Answer 2

hii HERE is your answer. ...


(9/2)^2×(25/18)^2=1/x^2

x^2=18^2.5^2/9^2.25^2

x=18.5/9.25

x=2/5
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