How do you write the radical expression of $a^{\frac{4}{9}}$ $a^(4/9)$ ?

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Answer 1 · 2015-06-15T18:12:50

$a^{\frac{4}{9}} = \sqrt[9]{a^{4}}$ $a^(4/9) = root(9)(a^4)$

$a^{\frac{4}{9}} = a^{4 \cdot \frac{1}{9}} = {(a^{4})}^{\frac{1}{9}} = \sqrt[9]{a^{4}}$ $a^(4/9) = a^(4*1/9) = (a^4)^(1/9) = root(9)(a^4)$

using $a^{b \cdot c} = {(a^{b})}^{c}$ $a^(b*c) = (a^b)^c$ and $a^{\frac{1}{n}} = \sqrt[n]{a}$ $a^(1/n) = root(n)(a)$

How do you write the radical expression of a^(4/9)a49a^(4/9)?