What is $(root3(a^2b^2)) sqrt(a^2b^3)$ in simplified radical form?

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Answer 1 · 2017-10-07T13:36:35

$color(red)(a)color(blue)(b^2)root6(color(red)(a^4)color(blue)(b)$

$color(red)(a^(2/3))timescolor(blue)(b^(2/3))timescolor(red)(a^(2/2))timescolor(blue)(b^(3/2)$

$color(red)(a^(2/3+2/2))timescolor(blue)(b^(2/3+3/2)$

$color(red)(a^((4+6)/6))timescolor(blue)(b^((4+9)/6)$

$color(red)(a^((10)/6))timescolor(blue)(b^((13)/6)$

$color(red)(root6(a^10) color(blue)(root6(b^13)$

$root6(color(red)(a^10color(blue)(b^13)$

$color(red)(a)color(blue)(b^2)root6(color(red)(a^4)color(blue)(b)$

What is (root3(a^2b^2)) sqrt(a^2b^3)(root3(a^2b^2)) sqrt(a^2b^3) in simplified radical form?