Step-by-step explanation:
Well first you would refer to the index laws which state that you multiply indexes that are separated by a bracket.
[tex]( {6}^{4} ) ^{ - 3}[/tex]
So we would multiply 4 with -3
[tex]4 \times - 3 = - 12[/tex]
So The answer would be
[tex] {6}^{ - 12} [/tex]
Which does not equal 6 so Samantha is wrong. Samantha's mistake was adding the two indexes rather than multiplying them.
