What is $(\sqrt[3]{a^{2} b^{2}}) \sqrt{a^{2} b^{3}}$ $(root3(a^2b^2)) sqrt(a^2b^3)$ in simplified radical form?

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What is $(\sqrt[3]{a^{2} b^{2}}) \sqrt{a^{2} b^{3}}$ $(root3(a^2b^2)) sqrt(a^2b^3)$ in simplified radical form?

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Answer 1 · 2017-10-07T13:36:35

$a b^{2} \sqrt[6]{a^{4} b}$ $color(red)(a)color(blue)(b^2)root6(color(red)(a^4)color(blue)(b)$

Explanation:

$a^{\frac{2}{3}} \times b^{\frac{2}{3}} \times a^{\frac{2}{2}} \times b^{\frac{3}{2}}$ $color(red)(a^(2/3))timescolor(blue)(b^(2/3))timescolor(red)(a^(2/2))timescolor(blue)(b^(3/2)$

$a^{\frac{2}{3} + \frac{2}{2}} \times b^{\frac{2}{3} + \frac{3}{2}}$ $color(red)(a^(2/3+2/2))timescolor(blue)(b^(2/3+3/2)$

$a^{\frac{4 + 6}{6}} \times b^{\frac{4 + 9}{6}}$ $color(red)(a^((4+6)/6))timescolor(blue)(b^((4+9)/6)$

$a^{\frac{10}{6}} \times b^{\frac{13}{6}}$ $color(red)(a^((10)/6))timescolor(blue)(b^((13)/6)$

$\sqrt[6]{a^{10}} \sqrt[6]{b^{13}}$ $color(red)(root6(a^10) color(blue)(root6(b^13)$

$\sqrt[6]{a^{10} b^{13}}$ $root6(color(red)(a^10color(blue)(b^13)$

$a b^{2} \sqrt[6]{a^{4} b}$ $color(red)(a)color(blue)(b^2)root6(color(red)(a^4)color(blue)(b)$

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What is $(\sqrt[3]{a^{2} b^{2}}) \sqrt{a^{2} b^{3}}$ $(root3(a^2b^2)) sqrt(a^2b^3)$ in simplified radical form?

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What is (3√a2b2)√a2b3(root3(a^2b^2)) sqrt(a^2b^3) in simplified radical form?

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What is $(\sqrt[3]{a^{2} b^{2}}) \sqrt{a^{2} b^{3}}$ $(root3(a^2b^2)) sqrt(a^2b^3)$ in simplified radical form?