How do you simplify $\sqrt[3]{a^{4} b^{5}}$ $root3(a^4b^5)$ ?

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Answer 1 · 2018-03-04T19:49:38

$a b \sqrt[3]{a b^{2}}$ $abroot(3)(ab^2)$

Note that $a^{4}$ $a^4$ is the same as $a^{3} \times a$ $a^3xxa$
Note that $b^{5}$ $b^5$ is the same as $b^{3} \times b^{2}$ $b^3xxb^2$

So $\sqrt[3]{a^{4} b^{5}} = \sqrt[3]{a^{3} \times a \times b^{3} \times b^{2}}$ $root(3)(a^4b^5) = root(3)(a^3xxaxxb^3xxb^2)$

$ddddddd = a b \sqrt[3]{a b^{2}}$ $color(white)("ddddddd")=abroot(3)(ab^2)$

How do you simplify 3√a4b5root3(a^4b^5)?