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Simplify the radicals. Assume that all variables can be any real number.

So I’m not too sure how to do this one... If anyone could give me an in-depth step by step solution it would help me out greatly!

Simplify the radicals Assume that all variables can be any real number So Im not too sure how to do this one If anyone could give me an indepth step by step sol class=

Respuesta :

[tex]\sqrt[3]{\frac{-27x^9}{64y^{12}}}[/tex]

we take cube root separately

[tex]\sqrt[3]{-27} =\sqrt[3]{-3*-3*-3} =-3[/tex]

We know cuberoot (x^3) is x

[tex]\sqrt[3]{x^9}=\sqrt[3]{x^3*x^3*x^3}=x*x*x= x^3[/tex]

[tex]\sqrt[3]{64} =\sqrt[3]{4*4*4}= 4[/tex]

[tex]\sqrt[3]{y^{12}} =\sqrt[3]{y^3*y^3*y^3*y^3}= y*y*y*y= y^4[/tex]

[tex]\sqrt[3]{\frac{-27x^9}{64y^{12}}}=\frac{-3x^3}{4y^4}[/tex]

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