Question

(a^-2b)^1/2 X(ab^-3)^1/3​

Answer 1

Answer:

1/a^(b+1)b

Step-by-step explanation:

{(a)^-2b}1/2 = (a)^-2b×1/2 =(a)^-b

[(a^m)^n = (a)^mn]

{(ab)^-3}1/3 = (ab)^-1

[(a^m)^n = (a)^mn]

ie, (a)^-b×( ab)^-1

= 1/a^b × 1/(ab)

= 1/(a)^(b+1)b

Answer 2

Answer:1/a^2/3Xb^1/2

Step-by-step explanation:

(a^-1Xb^1/2)X(a^1/3Xb^-1)

a^-1+1/3Xb^1/2-1

a^-2/3Xb^-1/2

1/a^2/3Xb^1/2