Question

Which is the simplified form of (2ab/a^-5b^2)^-3?

Answer 1

a. b^3/8a^18

Explanation:

Just took the test

Answer 2

Answer: First option is correct.

Explanation:

Since we have given that

`((2ab)/(a^(-5)b^2))^(-3)`

We will use law of exponents :

`((2ab)/(a^(-5)b^2))^(-3)\\\\=((a^(-5)b^2)/(2ab))^3\text{ }\because (a^m)^(-1)=(1)/(a^m)\\\\=(a^(-15)b^(6))/(8a^3b^3)\text{ }\because (a^m)^n=a^(mn)\\\\=(b^(6-3))/(a^(3+15))\\\\=(b^3)/(8a^(18))`

So, the simplified form is

`(b^3)/(8a^(18))`

Hence, First option is correct.