Question

What is the answer?
(2a³b⁴)⁴=

Answer 1

16*(a^12)*(b^16)

Explanation:

In order to solve this problem, we can split these term into three separate terms.

`{(2 {a}^(3) {b}^(4))}^(4) = {2}^(4) * {( {a}^(3)) }^(4) * {( {b}^(4) )}^(4)`

2 to the power of 4 is 16.

`{2}^(4) = 16`

As for the terms a and b, the two exponents can multiply with each other.

`{( {a}^(3) )}^(4) = {a}^((3 * 4)) = {a}^(12)`

`{( {b}^(4) )}^(4) = {b}^((4 * 4)) = {b}^(16)`

Now, we can directly multiply the values together by combining into one term.

Hence, the final answer is

`16 {a}^(12) {b}^(16)`

Answer 2

16a^12 b^16

Explanation:

that's the answer. just multiply out the powers