Mathematics: Simplify the radicals. assume that all variables can be any real number. so i’m not too sure how to do this if anyone could give me an in-depth step by step solution it would me out greatly!

Simplify the radicals. assume that all variables can

abigailweeks10

11.03.2022

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

we take cube root separately

$\sqrt[3]{-27} =\sqrt[3]{-3*-3*-3} =-3$

We know cuberoot (x^3) is x

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

$\sqrt[3]{64} =\sqrt[3]{4*4*4}= 4$

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

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

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