Question

Simplify the expression \[\sqrt[4]{256a^2b^4}\]

Answer 1

\[
\sqrt[4]{256a^2b^4}=\sqrt[4]{256} \cdot \sqrt[4]{a^2} \cdot \sqrt[4]{b^4}
\]

Answer 2

So what do I put as the answer? 4 square root a^2 b^4?

Answer 3

do you know how to simplify it more?

Answer 4

Nope I have no Idea how to do those

Answer 5

do you know what \(\sqrt[4]{b^4}\) simplifies to?

Answer 6

Nope

Answer 7

\[
\sqrt[4]{b^4} = |b|
\]

Answer 8

ok

Answer 9

\[
\sqrt[4]{a^2} = \sqrt{a}
\]

Answer 10

So the answer wil be 4 square root ab?

Answer 11

\[

\sqrt[4]{256} = \sqrt[4]{2^8} = 2^2 = 4

\]

Answer 12

Yeah basically.

Answer 13

would you mind showing it to me in an equation?

Answer 14

Unless you can assume \(b>0\) it's \(|b|\)