Question

express the following into positive exponential form
(3/2)^33÷(2/3)^-35​

Answer 1

Answer:

(2/3)²

Step-by-step explanation:

(3/2)³³ = 3³³/2³³

(2/3)^(-35) =( 3/2 )³⁵ = 3³⁵/2³⁵

(3/2)^33÷(2/3)^-35 =[ 3³³/2³³ ]× (2³⁵/3³⁵)

=(3³³×2³⁵)/(2³³× 3³⁵)

= 3^(33-35) × 2^(35-33)

= 3^(-2) ×(2²)

= (2/3)²