How do you simplify $\frac{\sqrt{x^{8}}}{\sqrt{x^{4}}}$ $sqrt(x^8)/sqrt(x^4)$ ?

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Answer 1 · 2017-04-10T17:39:31

The answer should be $x^{2}$ $x^2$

$\frac{x^{8 \cdot \frac{1}{2}}}{x^{4 \cdot \frac{1}{2}}}$ $x^(8*1/2)/x^(4*1/2)$

$\frac{x^{4}}{x^{2}}$ $x^4/x^2$

$x^{4 - 2}$ $x^(4-2)$
using $\frac{a^{b}}{a^{c}} = a^{b - c}$ $a^b/a^c=a^(b-c)$
$x^{2}$ $x^2$

How do you simplify √x8√x4 sqrt(x^8)/sqrt(x^4)?