Question

\(\left(\dfrac{12}{25}\right)^x=\left(\dfrac{5}{3}\right)^{-2}-\left(-\dfrac{3}{5}\right)^4\)

Answer 1

(\(\dfrac{12}{25}\))^{\(^x\)}  = (\(\dfrac{5}{3}\))^-2 - (-\(\dfrac{3}{5}\))⁴

(\(\dfrac{12}{25}\))^\(x\)  = (\(\dfrac{3}{5}\))² - (\(\dfrac{3}{5}\))⁴

(\(\dfrac{12}{25}\))^{\(^x\)} = \(\dfrac{9}{25}\) - \(\dfrac{81}{625}\)

(\(\dfrac{12}{25}\))^{\(^x\)}  = \(\dfrac{144}{625}\)

(\(\dfrac{12}{25}\))^{\(^x\)} = (\(\dfrac{12}{25}\))²

       \(x\) = 2

        

Answer 2

(12/25)ˣ = (5/3)⁻² - (-3/5)⁴

(12/25)ˣ = 9/25 - 81/625

(12/25)ˣ = 144/625

(12/25)ˣ = (12/25)²

x = 2