How do you write with fractional exponents $3sqrta$ ?

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Answer 1 · 2015-06-05T09:42:38

$sqrta$ this represents the square root of $a$ .

Square root , can also be called as second root of $a$ , so in terms of fraction, second root is a half power ( $color(red)(1/2$ )

( note: similarly cube root/third root is one third power , $1/3$ )

so , $sqrt a = a^(color(red)(1/2)$

So,
$3sqrt a = 3a^(color(red)(1/2)$

How do you write with fractional exponents 3sqrta3sqrta?