Question

simplify :- [( 3 2 )^ 2 ]2* ( 1 3 )-4* 3^ -1 * 1 6​

Answer 1

Answer:

don't know zhjshshsoao

Answer 2

Solution :-

→ [(3/2)^2]^2 × (1/3)^(-4) × (3)^-1 × (1/6)

using (a^m)^n = a^(mn) ;

→ (3/2)^(2×2) × (1/3)^(-4) × (3)^-1 × (1/6)

→ (3/2)⁴ × (1/3)^(-4) × (3)^-1 × (1/6)

→ (81/16) × (1/3)^(-4) × (3)^-1 × (1/6)

using (a)^(-m) = 1/a^m ;

→ (81/16) × 1/(1/3)⁴ × (1/3) × (1/6)

→ (81/16) × 1/(1/81) × (1/18)

→ (81/16) × 81 × (1/18)

→ (81 × 81)/(16 × 18)

→ (81 × 9)/(16 × 2)

→ (729/32) (Ans.)

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