What is the cube root of -729a^9b^6? -9a^3b^2 -9a^2b^ -8a^3b^2 -8a^2b^3

asked Oct 24, 2023 196k views

14 votes

What is the cube root of -729a^9b^6?
-9a^3b^2
-9a^2b^
-8a^3b^2
-8a^2b^3

by Lior

5.0k points

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6 votes

Answer:

= 9a^3b^2

Explanation:

$\sqrt[3]{-729a^9b^6} =$

$= ((-9)^3a^9b^6)^{(1)/(3)$

$= (-9)^{3 * (1)/(3)} * a^{9 * (1)/(3)} * b^{6 * (1)/(3)}$

= (-9)^(1) * a^(3) * b^(2)

= -9a^3b^2

Efthimio answered Oct 30, 2023

4.0k points

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