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Question #4841e

1 Answer

Jul 26, 2016

square root of $x^{6} \cdot x^{13} = x^{9} \sqrt{x}$ $x^6*x^13=x^9sqrt(x)$

Explanation:

$x^{6} \cdot x^{13}$ $x^6*x^13$
$XXX = x^{19}$ $color(white)("XXX")=x^19$

$XXX = {(x^{9})}^{2} \cdot x$ $color(white)("XXX")=(x^9)^2*x$

Therefore
$XXX \sqrt{x^{6} \cdot x^{13}}$ $color(white)("XXX")sqrt(x^6*x^13)$

$XXXXXX = \sqrt{{(x^{9})}^{2} \cdot x}$ $color(white)("XXXXXX")=sqrt((x^9)^2*x)$

$XXXXXX = \sqrt{{(x^{9})}^{2}} \cdot \sqrt{x}$ $color(white)("XXXXXX")=sqrt((x^9)^2)*sqrt(x)$

$XXXXXX = x^{9} \cdot \sqrt{x}$ $color(white)("XXXXXX")=x^9*sqrt(x)$

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