Question

Simplify $|\sqrt[3]{3\sqrt[6]{6a^9}}{|}^4|\sqrt[6]{6\sqrt[3]{3a^9}}{|}^4$.

• A. $a^{16}$
• B. $a^{12}$
• C. $a^8$
• D. $a^4$

Answer 1

The correct option is D $a^4$

$|\sqrt[3]{3\sqrt[6]{6a^9}}{|}^4|\sqrt[6]{6\sqrt[3]{3a^9}}{|}^4$

$=a^{|9\times \frac{1}{6}\times \frac{1}{3}\times 4|}$ $a^{|9\times \frac{1}{3}\times \frac{1}{6}\times 4|}$

After simplication both of mod we get

|$a^2$| |$a^2$|

which is equal to $a^4$

so correct option is $D$