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The answer is 2x^9.           

The cube root of [tex]$8x^{27[/tex] is 512.

How to estimate the cube root of [tex]$8x^{27[/tex]?

In mathematics, a cube root of a number x exists as a number y such that [tex]y^{3[/tex]= x. All nonzero real numbers contain exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers contain three distinct complex cube roots.

∛8[tex]x^{27[/tex] = ∛[tex](2x^9)^3[/tex]

Simplifying the above equation, we get

= [tex]2x^9[/tex]

= 512.

Therefore, the cube root of [tex]$8x^{27[/tex] is 512.

To learn more about cube root

https://brainly.com/question/12604137

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