Question

The value of$\sqrt[3]{3\frac{-a^6\times b^3\times c^{21}}{c^9\times a^{12}}}$ is

• A. $\frac{-b{c}^3}{a^2}$
• B. $\frac{b{c}^4}{a^2}$
• C. $\frac{-a{b}^4}{c^2}$
• D. $\frac{-b{c}^4}{a^2}$

Answer 1

Answer: (D)

$\frac{-b{c}^4}{a^2}$

We need to find value of $\sqrt[3]{3-\frac{a^6\times b^3\times c^{21}}{c^9\times a^{12}}}$

$=-\sqrt[3]{3a^{6-12}\times b^3\times c^{21-9}}$

$=-\sqrt[3]{3a^{-6}\times b^3\times c^{12}}$

$=-a^{-2}\times b\times c^4$

$=-\frac{b{c}^4}{a^2}$