(-3/2)6 * (4/9)3 = (1/2)3x

(-3/2)6 * (4/9)3 = (1/2)3x (-3/2)6 * {(2)2/(3)2}3 = (1/2)3x (-3/2)6 * (2/3)3*2 = (1/2)3x (-3/2)6 * (2/3)6 = (1/2)3x {(-3/2)*(2/3)}6 = (1/2)3x (-1)6 = (1/2)3x 1 = 1/23x 23x = 1 8x = 1 => x = 0 (because anything power 0 is 1)

(-3/2)⁶ * (4/9)³ = (1/2)^3x

(-3/2)⁶ * {(2)²/(3)²}³ = (1/2)^3x

(-3/2)⁶ * (2/3)^3*2 = (1/2)^3x

(-3/2)⁶ * (2/3)⁶ = (1/2)^3x

{(-3/2)*(2/3)}⁶ = (1/2)^3x

(-1)⁶ = (1/2)^3x

1 = 1/2^3x

2^3x = 1

8^x = 1

=> x = 0

(because anything power 0 is 1)

-1

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