How do you simplify $9^(3/2)$ ?

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Answer 1 · 2016-05-25T09:18:39

$27$

Breaking $9^(3/2)$ down into its component parts

$3/2$ is the same as $3xx1/2$ which is the same as $1/2xx3$

so $9^(3/2)$ is the same as $9^(1/2xx3)$

Write this as: $(9^(1/2))^3$

Consider the part of $9^(1/2)$

This is the same as $sqrt(9) = 3$

So $(9^(1/2))^3 = (sqrt(9))^3$

$=3^3=27$
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However, it true to say that:

$sqrt(9)=+-3$

and $(+-3)^3=+-27$

How do you simplify 9^(3/2)9^(3/2)?