Respuesta :
Answer:
[tex]8x^8[/tex] (Please see my interpretation of the problem.)
The problem:
Simplify [tex]\sqrt{64x^{16}}[/tex] (Please tell me if I did or didn't interpret your problem correctly. Thank you!)
Step-by-step explanation:
[tex]\sqrt{64x^{16}}[/tex] (Given)
[tex]\sqrt{64}\sqrt{x^{16}}[/tex] (if u and v are positive then [tex]\sqrt{uv}=\sqrt{u}\sqrt{v}[/tex])
[tex]8\sqrt[2]{x^{16}}[/tex] ([tex]\sqrt{ }=\sqrt[2]{}[/tex])
[tex]8x^{\frac{16}{2}}[/tex] ([tex]\sqrt[n]{x^m}=x^\frac{m}{n}[/tex])
[tex]8x^8[/tex] (simplified/reduced the fractional-exponent)