Question

Simplify. Assume x represents a positive real number. The square root of 80x^4

Answer 1

\[\sqrt{80x ^{4}} = \sqrt{80}*\sqrt{x ^{4}}\]
The exponent part isn't that bad, it's just whether or not you know how to simplify radical expressions.

Answer 2

For the exponent part, know that square root x is the same as
\[x ^{\frac{ 1 }{ 2 }} \]
So that means you have:
\[\sqrt{80}*(x ^{4})^{\frac{ 1 }{ 2 }}\]
Hopefully that makes simplifying the exponent part of it easier.