16.1k views
3 votes
Which expression is equivalent

Which expression is equivalent-example-1

1 Answer

5 votes

Answer:


\large\boxed{B.\ x^{(9)/(4)}}

Explanation:


\text{use}\\\\a^(m)/(n)=\sqrt[n]{a^m}\\\\a^n\cdot a^m=a^(n+m)\\=================\\\\\left(\sqrt[4]{x^6}\right)\left(\sqrt[12]{x^9}\right)=\left(x^(6)/(4)\right)\left(x^(9)/(12)\right)=x^{(6)/(4)+(9:3)/(12:3)}=x^{(6)/(4)+(3)/(4)}=x^(6+3)/(4)=x^{(9)/(4)

User Asanka Siriwardena
by
4.8k points