![\sqrt[3]{-729a^9b^6}\qquad\text{use}\ \sqrt[n]{xy}=\sqrt[n]{x}\cdot\sqrt[n]{y}\\\\=\sqrt[3]{-729}\cdot\sqrt[3]{a^9}\cdot\sqrt[3]{b^6}\\\\=-9\cdot\sqrt[3]{a^{(3)(3)}}\cdot\sqrt[3]{b^{(2)(3)}}\qquad\text{use}\ (x^n)^m=x^{nm}\\\\=-9\cdot\sqrt[3]{(a^3)^3}\cdot\sqrt[3]{(b^2)^3}\qquad\text{use}\ \sqrt[3]{x^3}=x\\\\=-9a^3b^2](/tpl/images/0076/4075/6b812.png)
What is the cube root of -729a^9b^6?
a. -9a^3b^2
b. -9a^2b^3
c. -8a^3b^2
d....
Mathematics, 11.07.2019 08:10, arielmajesty9107
What is the cube root of -729a^9b^6?
a. -9a^3b^2
b. -9a^2b^3
c. -8a^3b^2
d. -8a^2b^3
Answers: 1
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