Question

(2x^3)^2 x 6x^2

(2m^0 x 5m)^2 x 5m^2

Answer 1

`\large\boxed{(2x^3)^2*6x^2=24x^8}`

Explanation:

`(2x^3)^2*6x^2\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^(nm)\\\\=2^2(x^3)^2*6x^2=4x^6*6x^2=(4*6)(x^6x^2)\qquad\text{use}\ a^n\cdot a^m=a^(n+m)\\\\=24x^(6+2)=24x^8`