Given the expression:
[tex]\mleft(-2v\mright)^4=\ldots[/tex]We will use the following rule of exponents:
[tex](ab)^n=a^n\cdot b^n[/tex]So, the given expression will be:
[tex]\mleft(-2v\mright)^4=(-2)^4\cdot v^4=16v^4[/tex]So, the answer will be:
[tex]16v^4[/tex]