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Mathematics 10 Online
OpenStudy (joftheworld):

@ganeshie8 @ash2326 @dan815 @SithsAndGiggles @paki i need as much help with this as possible..

OpenStudy (joftheworld):

OpenStudy (joftheworld):

@wrstlr3232

OpenStudy (joftheworld):

can you help me ?

OpenStudy (anonymous):

\[\large\sqrt[6]{125x^3y^9z^6}\] Recall some properties of roots: \[\large\sqrt[b]{a^c}=a^{c/b}~~~\text{and}~~~\sqrt{ab}=\sqrt a\sqrt b\] So you can use the second property to rewrite the original expression as \[\large\sqrt[6]{125}\sqrt[6]{x^3}\sqrt[6]{y^9}\sqrt[6]{z^6}\] and the first property to get \[\large125^{1/6}x^{3/6}y^{9/6}z^{6/6}\] Notice that \(\large125=5^3\), so you have \[\large(5^3)^{1/6}x^{3/6}y^{9/6}z^{6/6}\] Another property: \[\large\left(a^b\right)^c=a^{bc}\] so you have \[\large5^{3/6}x^{3/6}y^{9/6}z^{6/6}\] What can you get from this?

OpenStudy (joftheworld):

\[z \sqrt{5xy^3}\]?

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