Question

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Answer 1

B

Explanation:

We need to understand 2 rules of exponents before simplifying this:

1.
`(ab)^n = a^n*b^n`

2.
`a^(-n)=(1)/(a^n)`

Lets use the first property to simplify this:

`(4a^3b^(-2))^(2)\\=(4)^2*(a^3)^2*(b^(-2))^2`

Now, we can use the property
`(a^n)^b=a^(nb)` to further simplify:

`(4)^2*(a^3)^2*(b^(-2))^2\\=16a^6b^(-4)`

We like to keep exponents "positive", so we use property #2 shown above and write:

`16a^6b^(-4)\\=(16a^6)/(b^4)`

So, the correct answer is B