Question 950832
{{{root(3,40b^4) = root(3,8*5b^4)}}} Factor 40 into 8*5



{{{root(3,40b^4) = root(3,8*5b^3*b)}}} Factor {{{b^4}}} into {{{b^3*b}}}



{{{root(3,40b^4) = root(3,8b^3*5b)}}} Rearrange terms.



{{{root(3,40b^4) = root(3,8b^3)*root(3,5b)}}} Break up the root.



{{{root(3,40b^4) = root(3,(2b)^3)*root(3,5b)}}} Rewrite {{{8b^3}}} as {{{(2b)^3}}}.



{{{root(3,40b^4) = 2b*root(3,5b)}}} Take the cube root of {{{(2b)^3}}} to get {{{2b}}}

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