Question 30922
{{{sqrt((24a)^3)}}}

A square root is the same as raising a number to the {{{1/2}}} power,
ex {{{sqrt(r)}}} equals {{{r^(1/2)}}}
ex {{{sqrt(3x)}}} equals {{{(3x)^(1/2)}}}

so, {{{sqrt((24a)^3)}}} can be written as {{{((24a)^3)^(1/2)}}}

when you raise a power to a power you multiply the powers,

ex) {{{(x^3)^(1/2)}}} we do {{{3*(1/2)=3/2}}} so the expression would be {{{x^(3/2)}}}

so your question {{{(24a)^(3/2)}}} is the simplified answer