Math, asked by pranav918, 6 months ago

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Answered by itzssavana
1

Answer:

x= 2/3

Step-by-step explanation:

(\frac{-4}{5} )^{-2} +  (\frac{-4}{5} )^{-2} = 1^{3x} \\

(\frac{-5}{4} )^{2} + (\frac{-5}{4} )^{2} = [(\frac{-5}{4} )^{0} ]^{3x} ( making the bases same )

\frac{25 + 25}{16 + 16} = [(\frac{-5}{4})^{0}] ^ {3x}\\  (bases are same add the fractions)

\frac{50}{32} = [(\frac{-5}{4})^{0}]^{3x}  \\\\\frac{25}{16} = [(\frac{-5}{4})^{0}]^{3x} \\\\   ( simplify the fraction )

(\frac{-5}{4})^{2} = [(\frac{-5}{4})^{0}] ^{3x}( since bases are same let them be canceled )

2=3x

3x=2

therefore x= 2/3 ans

Hope u found this helpful.... if you didnt understand any step pls tell me:)

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