Answer:
[tex]\large\boxed{(2x^3)^2\times6x^2=24x^8}[/tex]
Step-by-step explanation:
[tex](2x^3)^2\times6x^2\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=2^2(x^3)^2\times6x^2=4x^6\times6x^2=(4\times6)(x^6x^2)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=24x^{6+2}=24x^8[/tex]