Answer:
The answer is x^2( [tex]\sqrt[4]{x^2}[/tex] ).
Step-by-step explanation:
To find an expression equivalent to 4 sqrt x^10, start by simplifying 4 sqrt x^10. To simplify the original equation, rewrite [tex]x^{10}[/tex] as ([tex]x^{2}[/tex])^4 [tex]x^{2}[/tex]. Then, pull terms out from under the radical, which will look like [tex]x^{2}[/tex][tex]\sqrt[4]{x^2}[/tex]. Next, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]x^{2}[/tex][tex]\sqrt{} \sqrt{x}^2[/tex]. Finally, pull terms out from under the radical, assuming positive real numbers, which look like [tex]\sqrt[x^2]{x}[/tex], and this will simplify 4 sqrt x^10.
Now, simplify [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ). To simplify, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]\sqrt{} \sqrt{x^2}[/tex]. Then, pull terms out from under the radical, assuming positive real numbers, and the final answer is [tex]\sqrt[x^2]{x}[/tex].
Finally, 4 sqrt x^10 is equivalent to [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ).
