How do you write $3x^(3/8)$ exponential expression in radical form?

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Answer 1 · 2017-06-07T19:31:46

See a solution process below:

First, rewrite the expression as:

$3x^(3 xx 1/8)$

Next, use this rule of exponents to rewrite the expression again as:

$x^(color(red)(a) xx color(blue)(b)) = (x^color(red)(a))^color(blue)(b)$

$3x^(color(red)(3) xx color(blue)(1/8)) => 3(x^color(red)(3))^color(blue)(1/8)$

Now, use this rule of exponents to write the expression as a radical:

$x^(1/color(red)(n)) = root(color(red)(n))(x)$

$3(x^3)^(1/color(red)(8)) = 3root(color(red)(8))(x^3)$

How do you write 3x^(3/8)3x^(3/8) exponential expression in radical form?