Question

Simplify (2xy^3)^4
A.8xy12

B.2x4y12

C.16xy12

D.16x4y12

Answer 1

The answer is D if you would simplify this (2xy^3)^4

Answer 2

D)
`(16)*x^(4) *(y^(12))` is correct answer .

Explanation:

Given :
`(2xy^(3))^(4)`.

To find : Simplify.

Solution : We have given that
`(2xy^(3))^(4)`.

By the exponential rule :
`(ab)^(c)  = a^(c)*b^(c)`.

`(2xy^(3))^(4)` =
`(2^(4))*x^(4) *(y^(3))^(4)`.

`(2xy^(3))^(4)` =
`(16)*x^(4) *(y^(12))`.

Therefore, D)
`(16)*x^(4) *(y^(12))` is correct answer .