Im stuck on the _process_ of simplifying a radical with an exponent inside.
Example: Sq.root [ x^6 ] divided by Sq.root [ y^18 ].
*Brackets denote the entity under the radical sign.
Im not looking for an answer to the problem, but a guide on how to correctly simplify the problem. Thanks
Example: Sq.root [ x^6 ] divided by Sq.root [ y^18 ].
*Brackets denote the entity under the radical sign.
Im not looking for an answer to the problem, but a guide on how to correctly simplify the problem. Thanks
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Prolly the easiest way out of this is to consider the radical sign as raising the radicand to the 1/2 power.
Sq.root [ x^6 ] divided by Sq.root [ y^18 ] becomes [ x^6 ]^(1/2)
divided by [ y^18 ]^(1/2) with some cautions... if the x and y are
negative then you'd need absolute value signs about the roots:
Instead of just x^3/y^9 you'd need |x^3/y^9|.
Sq.root [ x^6 ] divided by Sq.root [ y^18 ] becomes [ x^6 ]^(1/2)
divided by [ y^18 ]^(1/2) with some cautions... if the x and y are
negative then you'd need absolute value signs about the roots:
Instead of just x^3/y^9 you'd need |x^3/y^9|.
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http://www.ehow.com/how_5798526_divide-r…
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x^6=(x^3)^2
y^18=(y^9)x(y^9)=(y^9)^2
y^18=(y^9)x(y^9)=(y^9)^2