Question 91111
{{{sqrt(625x^3/25x^6)}}}



{{{sqrt(25x^3/x^6)}}} Divide 625 by 25 to get 25


{{{sqrt(25x^(3-6))}}} Subtract the exponents


{{{sqrt(25x^-3)}}} 


{{{sqrt(25/x^3)}}} Flip the variable with a negative exponent



{{{sqrt(25)/sqrt(x^3)}}} Break up the square root using the identity {{{sqrt(x/y)=sqrt(x)/sqrt(y)}}}


{{{5/sqrt(x^3)}}} Take the square root of 25


{{{5/sqrt(x*x^2)}}} Factor {{{x^3}}} into {{{x*x^2}}}


{{{5/(sqrt(x)*sqrt(x^2))}}} Break up the square root using the identity {{{sqrt(x*y)=sqrt(x)*sqrt(y)}}}


{{{5/(sqrt(x)*x)}}} Take the square root of {{{x^2}}}


{{{5/(x*sqrt(x))}}} Rearrange the terms