Question

calcule{[(12²)⁴]³}⁵=
​

Answer 1

$(ab)^n=a^nb^n\\ (a^n)^m=a^{n*m}$

$\bigg(\big((12^2)^4\big)^3\bigg)^5=12^{2*4*3*5}=\boxed{12^{120}}=\\\\ =(2^2*3)^{120}=\boxed{{2^{240}3^{120}}}$