Question

-3/2 raise to power 6 × 4/9 raise to power 3 = 1/2 raise to power 3x?

Answer 1

Answer:

Step-by-step explanation:

(-3/2)⁶ * (4/9)³ = (1/2)³ˣ

=> (-3/2)⁶ * ((2/3)²)³ = (1/2)³ˣ

=> (-3/2)⁶ * (2/3)⁶ = (1/2)³ˣ

=> (-3/2 * 2/3)⁶ = (1/2)³ˣ   (∵ aˣ * bˣ  = (ab)ˣ)

=> (-1)⁶ = (1/2)³ˣ

=> 1 = (1/2)³ˣ

=> (1/2)⁰ = (1/2)³ˣ  (∵ a⁰ = 1)

=> 0 = 3x  (∵ when bases are same powers are equal)

=> x = 0.