How do you simplify $8^{\frac{2}{6}}$ $8^(2/6)$ ?

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How do you simplify $8^{\frac{2}{6}}$ $8^(2/6)$ ?

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Answer 1 · 2017-01-26T14:42:29

$2$ $2$

Explanation:

The first point to note is that.

$\frac{2}{6} = \frac{1}{3} \leftarrow in simplest form$ $2/6=1/3larrcolor(red)" in simplest form"$

$\Rightarrow 8^{\frac{2}{6}} = 8^{\frac{1}{3}}$ $rArr8^(2/6)=8^(1/3)$

Using the $law of exponents$ $color(blue)"law of exponents"$

$color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^(m/n)=(root(n)a)^m)color(white)(2/2)|)))$

$rArr8^(1/3)=root(3)8=2$

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How do you simplify $8^{\frac{2}{6}}$ $8^(2/6)$ ?

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