# Math Help - [SOLVED] Simplyfying

1. ## [SOLVED] Simplyfying

$\sqrt[4]{x^6}$

Attempt
$x^1\sqrt[4]{x^2}$
OR
$\sqrt[2]{x^3}$

Which of the following is correct and why?

2. Originally Posted by mj.alawami
$\sqrt[4]{x^6}$

Attempt
$x^1\sqrt[4]{x^2}$
OR
$\sqrt[2]{x^3}$

Which of the following is correct and why?
Both!

$\sqrt[4]{x^6} = \left(x^6\right)^{\frac14} = x^{\frac64} = x^{1+\frac12} = x \cdot \sqrt{x}$

$\sqrt[4]{x^6} = \left(x^6\right)^{\frac14} = x^{\frac64} = x^{\frac32} = \sqrt{x^3}$