Question

If ( 81/16)^−3/4 X ( 64/27)^−1/3= ?

Answer 1

(81/16)^-3/4 (16/81)^3/4

(64/27)^-1/3-(27/64)^1/3

(16/81) 3/4 (2^4/3^4)^3/4

=(2/3)^3/4×4

(27/64)^1/3=(3^3/4^3)^1/3

(3/4) 1/3×3 So (2/3)^3 × (3/4)^1

8/27 x 3/4 2/9

So the answer is 2/9

Answer 2

Answer:

2/9

Step-by-step explanation:

(81/16)^-3/4 × (64/27)^-1/3

= (3^4/2^4)^-3/4 × (4^3/3^3)^-1/3

= [(3/2)^4]^-3/4 × [(4/3)^3]^-1/3

= (3/2)^-3/4×4 × (4/3)^-1/3×3

= (3/2)^-3 × (4/3)^-1

= (2/3)^3 × (3/4)^1

= 8/37 × 3/4

= 2/9