[tex]\bf (x^3)^4\cdot x^{-3}\implies (x^{3\cdot 4})\cdot x^{-3}\implies x^{12}\cdot x^{-3}\implies x^{12-3}\implies x^9[/tex]
Answer:
Step-by-step explanation:
[tex](x^3)^4\cdot x^{-3}\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\=x^{(3)(4)+(-3)}=x^{12-3}=x^9[/tex]