College

What is the cube root of [tex]8x^7[/tex]?

A. [tex]2x^3[/tex]
B. [tex]2x^9[/tex]
C. [tex]4x^3[/tex]
D. [tex]4x^9[/tex]

Answer :

Final answer:

The cube root of 8x²7 is 2x⋅√7.


Explanation:

The cube root of 8x²7 can be simplified by factoring the number inside the cube root. In this case, 8x²7 can be rewritten as (2x³)(7). The cube root of (2x³)(7) can then be written as the cube root of (2x³) times the cube root of 7. The cube root of 2x³ is equal to 2x, so the final simplified expression is 2x times the cube root of 7. Therefore, the cube root of 8x²7 is 2x⋅√7.


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